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NCERT Solutions for Class 7 Maths Chapter 5 - Lines And Angles

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Last updated date: 04th Mar 2024
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NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles - PDF Download

Mathematics is one of the most scoring subjects and students should always try to get 100% results. To enhance this, NCERT Solutions for Class 7 Maths Chapter 5 is available for free downloading on the official website of Vedantu. The chapter Lines and Angles Class 7 are prepared by the well-experienced faculty in a simple language for students' reference. Students can utilize this and can practise several questions along with solved examples. If students have any doubts, they may feel free to clear them with the help of instructors available on the official website. Subjects like Science, Maths, English, Social Science, Hindi will become easy to study if you have access to NCERT Solution for Class 7 Science , Maths solutions and solutions of other subjects. You can also download NCERT Solutions for Class 7 Maths to help you to revise the complete syllabus and score more marks in your examinations. They can explain their queries through live chat, which is very helpful for students.


Class:

NCERT Solutions for Class 7

Subject:

Class 7 Maths

Chapter Name:

Chapter 5 - Lines and Angles

Content-Type:

Text, Videos, Images and PDF Format

Academic Year:

2023-24

Medium:

English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes

Access NCERT solutions for Class 7 Maths Chapter 5 – Lines and Angles

Exercise 5.1

1. Find the complement of each of the following angles:

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Ans: For finding complement angle we use = \[90{}^\circ -\] given angle

  1. Complement of \[20{}^\circ  = 90{}^\circ -20{}^\circ =70{}^\circ \]

  2. Complement of \[63{}^\circ =90{}^\circ -63{}^\circ =27{}^\circ \]

  3. Complement of \[57{}^\circ =90{}^\circ -57{}^\circ =33{}^\circ \]


2. Find the supplement of each of the following angles:

(Image will be uploaded soon)

Ans: For finding supplement angle we use = \[180{}^\circ -\] given angle

  1. Supplement of \[105{}^\circ  = 180{}^\circ -105{}^\circ =75{}^\circ \]

  2. Supplement of \[87{}^\circ =180{}^\circ -87{}^\circ =93{}^\circ \]

  3. Supplement of \[154{}^\circ =180{}^\circ -154{}^\circ =26{}^\circ \]


3. Identify which of the following pairs of angles are complementary and which are supplementary:

  1. $65{}^\circ ,115{}^\circ $

  1. $63{}^\circ ,27{}^\circ $

  1. $112{}^\circ ,68{}^\circ $

  1. $130{}^\circ ,50{}^\circ $

  1. $45{}^\circ ,45{}^\circ $

  1. $80{}^\circ ,10{}^\circ $

Ans: If the sum of two angles is $180{}^\circ $, then they are called supplementary angles.

If the sum of two angles is $90{}^\circ ,$ then they are called complementary angles.

  1. $65{}^\circ +115{}^\circ =180{}^\circ $

The sum of two angles is $180{}^\circ $. Thus, these are supplementary angles

  1. $63{}^\circ +27{}^\circ =90{}^\circ $

The sum of two angles is $90{}^\circ $. Thus, these are complementary angles

(iii) $112{}^\circ +68{}^\circ =180{}^\circ $

The sum of two angles is $180{}^\circ $. Thus, these are supplementary angles

(iv) $130{}^\circ +50{}^\circ =180{}^\circ $

The sum of two angles is $180{}^\circ $. Thus, these are supplementary angles

(v) $45{}^\circ +45{}^\circ =90{}^\circ $

The sum of two angles is $90{}^\circ $. Thus, these are complementary angles

(vi) $80{}^\circ +10{}^\circ =90{}^\circ $

The sum of two angles is $90{}^\circ $. Thus, these are complementary angles


4. Find the angle which is equal to its complement:

Ans: Let one of the two complementary angles be $x$

 $ \therefore x+x=90{}^\circ  $ 

 $ 2x=90{}^\circ  $ 

 $ x=\frac{90}{2} $ 

 $ x=45{}^\circ  $ 

Thus, $45{}^\circ $is the angle equal to its complement.


5. Find the angle which is equal to its supplement:

Ans: Let one of the two supplementary angles be $x$

$ \therefore x+x=180{}^\circ  $

$ 2x=180{}^\circ  $ 

$ x=\frac{180}{2} $

$ x=90{}^\circ  $

Thus, $90{}^\circ $is the angle equal to its complement.


6. In the given figure, $\angle 1$ and $\angle 2$ are supplementary angles $\angle 1$ is decreased, what changes should take place in $\angle 2$ so that both the angles still remain supplementary?

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Ans: If $\angle 1$is decreased then, $\angle 2$will be increasing with the 

same measure in the way that both the angles still remain supplementary.


7. Can two angles be supplementary if both of them are:

(i). acute

Ans: No, because sum of two acute angles is less than $180{}^\circ $

(ii). Obtuse

Ans: No, because sum of two obtuse angles is more than $180{}^\circ $

(iii). right?

Ans: Yes, because sum of two right angles is equal to $180{}^\circ $


8. An angle is greater than $45{}^\circ $. Is its complementary angle greater than $45{}^\circ $ or equal to $45{}^\circ $ or less than $45{}^\circ $ ?

Ans: Let the complementary angles be $x$and$y$, i.e., $x+y=90{}^\circ $

Given, $x>45{}^\circ $…………….$\left( i \right)$

Adding $y$to both sides in eq. $\left( i \right)$

 $ x+y>45{}^\circ +y $

 $ 90{}^\circ >45{}^\circ +y $ 

 $ 90{}^\circ -45>y $

 $ 45{}^\circ >y $

Thus, the complementary angle will be less than $45{}^\circ $


9. In the adjoining figure:

(Image will be uploaded soon)

(i). Is $\angle 1$adjacent to $\angle 2$?

Ans: Yes, in $\angle AOE$, OC is common arm.

(ii). Is $\angle AOC$adjacent to $\angle AOE$?

Ans: No, they have no non-common arms on opposite side of common arm.

(iii). Do $\angle COE$and $\angle EOD$form a linear pair?

Ans: Yes, they form linear pair.

(iv). Are $\angle BOD$and $\angle DOA$supplementary?

Ans: Yes, they are supplementary.

(v). Is $\angle 1$vertically opposite to $\angle 4$?

Ans: Yes, they are vertically opposite angles.

(vi). What is the vertically opposite angle of$\angle 5$?

Ans: Vertically Opposite Angle of $\angle 5$ is $\angle COB$


10. Indicate which pairs of angles are: 

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(i) Vertically opposite angles?

Ans: Vertically Opposite Angles are: 

$\angle 1,\angle 4$ and $\angle 5=\angle 2+\angle 3$

(ii) Linear pairs?

Ans: Linear Pairs are: 

$\angle 1+\angle 5$ and $\angle 5+\angle 4$


11. In the following figure, is $\angle 1$adjacent to$\angle 2$? Give reasons.

(Image will be uploaded soon)

Ans: $\angle 1$and $\angle 2$ are not adjacent angles because their vertex is not common.


12. Find the values of the angles x y, and z in each of the following:

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Ans: $\left( i \right)$$x=55{}^\circ $         (Vertically Opposite Angle)

Now, $55{}^\circ +y=180{}^\circ $ (Linear Pair)

 $ y=180{}^\circ -55{}^\circ  $

 $ y=125{}^\circ  $

 As, 

 $ y=z $ 

 $ y=z=125{}^\circ  $ 

Hence, $x=55{}^\circ ,y=125{}^\circ $and $z=125{}^\circ $

(Image will be uploaded soon)

Ans: $\left( ii \right)$$40{}^\circ +x+25{}^\circ =180{}^\circ $

$ \Rightarrow 65{}^\circ +x=180{}^\circ  $ 

$ \Rightarrow x=180{}^\circ -65{}^\circ $\ 

$ \Rightarrow x=115{}^\circ  $

Now, $40{}^\circ +y=180{}^\circ $       (Linear Pair)

 $ \Rightarrow y=180{}^\circ -40{}^\circ  $ 

 $ \Rightarrow y=140{}^\circ  $ 

Also, $y+z=180{}^\circ $         (Linear Pair)

$\Rightarrow 140{}^\circ +z=180{}^\circ $     ($y=140{}^\circ $, solved above)

 $ \Rightarrow z=180{}^\circ -140{}^\circ  $

 $ \Rightarrow z=40{}^\circ  $ 

Thus, $x=115{}^\circ ,y=140{}^\circ $and $z=40{}^\circ $


13. Fill in the blanks:

(i). If two angles are complementary, then the sum of their measures is _______________.

Ans: $90{}^\circ $

(ii). If two angles are supplementary, then the sum of their measures is _______________.

Ans: $180{}^\circ $

(iii). Two angles forming a linear pair are _______________.

Ans: Supplementary

(iv). If two adjacent angles are supplementary, they form a _______________.

Ans: Linear Pair

(v). If two lines intersect a point, then the vertically opposite angles are always

_______________.

Ans: Equal

(vi). If two lines intersect at a point and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______________.

Ans: Obtuse Angles


14. In the adjoining figure, name the following pairs of angles:

(Image will be uploaded soon)

(i). Obtuse vertically opposite angles.

Ans: In the given figure, $\angle AOD$and$\angle BOC$ are obtuse vertically opposite angles.

(ii). Adjacent complementary angles.

Ans: In the given figure, $\angle AOB$ and $\angle EOA$ are adjacent complementary angles.

(iii). Equal supplementary angles.

Ans: In the given figure, $\angle EOB$ and $\angle EOD$ are equal supplementary angles

(iv). Unequal supplementary angles. 

Ans: In the given figure, $\angle EOA$ and$\angle EOC$ are unequal supplementary angles.

(v). Adjacent angles that do not form a linear pair.

Ans: In the given figure, $\angle AOB$ and $\angle EOA$, $\angle EOA$ and $\angle EOD$, $\angle EOD$ and $\angle COD$ are adjacent angles that do not form a linear pair.


Class –VII Mathematics (Ex. 5.2) 

Questions 

1. State the property that is used in each of the following statements:

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(i). If $a$$\parallel $$b$, then $\angle 1$ = $\angle 5$.

Ans: Given, $\angle 1$ 

than $\angle 1$ = $\angle 5$, (Corresponding Angle)

If the two parallel ($a$$\parallel $$b$) lines cut by a transversal ($b.$),

then each pair of corresponding angles will be equal in measure.


(ii). If ∠ 4 = ∠ 6, then $a$$\parallel $$b$.

Ans: Given, $\angle 4=\angle 6$ (Alternate Interior Angles)

than, $a$$\parallel $$b$

When a transversal ($b.$) cut two lines such that pairs of alternate interior angles are equal, then the lines will be parallel $a$$\parallel $$b$.


(iii). If $\angle 4+\angle 5=180{}^\circ $, then $a$$\parallel $$b$.

Ans: Given, $\angle 4+\angle 5=180{}^\circ $,

Then $a$$\parallel $$b$

When a transversal ($b.$) cut two lines such that pairs of interior angles on the same side of transversal are supplementary ($\angle 4+\angle 5=180{}^\circ $), the lines have to be parallel ($a$$\parallel $$b$).


2. In the adjoining figure, identify:

(Image will be uploaded soon) (Image will be uploaded soon)

(i). the pairs of corresponding angles.

Ans: The pair of corresponding angles are: 

($\angle 1,\angle 5$), ($\angle 2,\angle 6$), (\[\angle 4,\angle 8\]) & ($\angle 3,\angle 7$)

(ii). the pairs of alternate interior angles.

Ans: The pair of alternate interior angles are:

($\angle 3,\angle 5$) & ($\angle 2,\angle 8$)

(iii). the pairs of interior angles on the same side of the transversal.

Ans: The pair of interior angles on the same side of the transversal are: 

($\angle 3,\angle 8$) & ($\angle 2,\angle 5$)

(iv). the vertically opposite angles.

Ans: The vertically opposite angles are: 

($\angle 1,\angle 3$), ($\angle 2,\angle 4$), ($\angle 6,\angle 8$) & ($\angle 5,\angle 7$)


3. In the adjoining figure, \[p\]$\parallel $$q$. Find the unknown angles.

(Image will be uploaded soon)

Ans: Given, \[p\]$\parallel $$q$ and is cut by a transversal line

$\therefore $ $125{}^\circ +\angle e=180{}^\circ $ (Linear Pair)

$ \Rightarrow \angle e=180{}^\circ -125{}^\circ  $

$ \Rightarrow \angle e=55{}^\circ  $ 

Now, $\angle e=\angle f=55{}^\circ $ (Vertically Opposite Angles)

So, \[\angle f=\angle a=55{}^\circ \] (Alternate Interior Angles)

$\Rightarrow \angle a+\angle b=180{}^\circ $ (Linear Pair)

\[

 $ \Rightarrow 55{}^\circ +\angle b=180{}^\circ  $ 

 $ \Rightarrow \angle b=180{}^\circ -55{}^\circ  $

 $ \Rightarrow \angle b=125{}^\circ  $

\]

Now, \[

 $ \angle a=\angle c=55{}^\circ  $ 

$ \angle b=\angle d=125{}^\circ  $

\] (Vertically Opposite Angles)

Hence, \[\angle a=55{}^\circ ,\angle b=125{}^\circ ,\angle c=55{}^\circ ,\angle d=125{}^\circ ,\angle e=55{}^\circ \And \angle f=55{}^\circ \]


4. Find the values of x in each of the following figures if \[l\parallel m\].

(Image will be uploaded soon)

Ans: \[(i)\] Given, \[l\parallel m\]and t is transversal line. 

$\therefore $ Interior vertically opposite angle between lines \[l\]and\[t\]

$\therefore $ $110{}^\circ +x=180{}^\circ $ (Supplementary Angles)

$ x=180{}^\circ -110{}^\circ  $ 

$ x=70{}^\circ  $ 


\[(ii)\] Given, \[l\parallel m\]and t is transversal line.

$x+2x=180{}^\circ $ (Interior Opposite Angles)

$ 3x=180{}^\circ  $

$ x=\frac{180{}^\circ }{3} $

$x=60{}^\circ $

\[(iii)\] Given, \[l\parallel m\] and \[a\parallel b\]

\[x=100{}^\circ \] (Corresponding Angles)


5. In the given figure, the arms of two angles are parallel. If ∆ABC = \[70{}^\circ \], then find:

(Image will be uploaded soon)

(i). ∠ DGC (ii) ∠ DEF

Ans: 

\[(i)\] Given, \[AB\]\[\parallel \]\[DE\] and BC is a transversal line and \[\angle \]ABC\[=70{}^\circ \]

$\therefore $ \[\angle \]ABC\[=\]\[\angle \]DGC\[=70{}^\circ \] (Corresponding Angles)

\[\angle \]DGC\[=70{}^\circ \]

 

\[(ii)\] Given, \[BC\]\[\parallel \]\[DF\] and DE is a transversal line and \[\angle \]DGC\[=70{}^\circ \]

\[\angle \]DGC\[=\]\[\angle \]DEF\[=70{}^\circ \] (Corresponding Angles)

\[\angle \]DEF\[=70{}^\circ \]


6. In the given figures below, decide whether l is parallel to m.

(Image will be uploaded soon)

Ans: \[(i)\] \[126{}^\circ +44{}^\circ =170{}^\circ \]

l is not parallel to m because sum of interior opposite angles should 

be \[180{}^\circ \]


(Image will be uploaded soon)

\[(ii)\] \[75{}^\circ +75{}^\circ =150{}^\circ \]

l is not parallel to m because sum of angles is not obeying parallel

lines rules.


(Image will be uploaded soon)

\[(iii)\]\[57{}^\circ +123{}^\circ =180{}^\circ \]

l is parallel to m because sum of supplementary angles is \[180{}^\circ \]


(Image will be uploaded soon)

\[(iv)\]\[98{}^\circ +72{}^\circ =170{}^\circ \]

l is not parallel to m because sum of angles is not obeying parallel

lines rules.

NCERT Solutions for Class 7 Maths Chapter 5 PDF Download

NCERT solutions for class 7 Maths chapters are clearly explained with easy language and are available in PDF format on the official website of Vedantu. Also, students can avail these solutions with a basic internet connection and an electronic device, so that they can practice whenever they want at their own pace. NCERT solutions for the below topics of class 7 chapter 5 Maths covered in the PDF solved by the expert teachers.


Important Topics Under NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles

Chapter 5 of the Class 7 Maths syllabus is ‘Lines and Angles’. This chapter covered in the class 7 Maths syllabus has 4 major sections or topics. In order to learn from and relate to this crucial chapter in mathematics, we advise students to go through these individual subtopics that come under this chapter on Lines and Angles. 

 

We have provided the following list of important topics that are covered under this chapter so that students can get acquainted with the necessary concepts that have been used in the provided NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles.

  • Introduction

  • Related Angles

  1. Complementary Angles

  2. Supplementary Angles

  3. Adjacent Angles

  4. Linear Pairs

  5. Vertically Opposite Angles

  • Pairs of Lines

  1. Intersecting Lines

  2. Transversal

  3. Angles Made by Transversal

  4. Transversal of Parallel Lines

  • Checking for Parallel Lines

We recommend that students read through each of these topics carefully and then get on to attempt and practise the NCERT solutions that we have provided for this chapter on Lines and Angles.

 

List of Exercises in Class 7 Maths Chapter 5:

Chapter 5 Lines and Angles All Exercises in PDF Format

Exercise 5.1

14 Question and Solutions

Exercise 5.2

6 Questions and Solutions

 

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles

5.1 Introduction

Students are introduced to this chapter by remembering the ray, line, line segment and angle. NCERT Solutions for Class 7 Maths PDF provides all the definitions. A ray has no endpoints in both directions. If there is an endpoint in one direction, we call it a line. Coming to the line segment, it has end-points on both sides. The current crucial topic is Angles. When two lines or line segments intersect each other, an angle is formed. With our well-designed solutions, students can attain a better understanding of the topic without referring to other books.

  • Exercise 5.1 with 14 Problems (4 are Long Answers, and 10 are Short Answers).

 

5.2 Related Angles

Here, students can learn about various kinds of relative angles. Students can try to solve problems on each type of angle so that it gives them knowledge about their properties too.

  • Exercise 5.2 with Six Sums  (2 are Short Answers, and 4 are Long Answers).

 

5.2.1 Complementary Angles

In this section, students can learn new topics like complementary angles and their properties and other kinds, etc. The law is that the sum of two supplementary angles is 90°. If an angle between two lines is 90°, we can say one angle is a complement to the other angle.

 

5.2.2 Supplementary Angles

The next relative angle available in the NCERT Solutions for Class 7 Maths Chapter 5 PDF book on the official website is the supplementary angles. Contrary to the complementary aspects, the sum of the two angles is 180°. Then they are called supplement angles.

 

5.2.3 Adjacent Angles

If any two angles have a common vertex and arm on any one side, they are called adjacent angles. The pages in a book, the car stereo are the best examples provided for students in the NCERT Solutions for Class 7 Maths Chapter 5 PDF books on the official website of Vedantu.

 

5.2.4 Linear Pairs

In this section, students can come across the concept of linear pairs. A pair of adjacent angles having rays in their non-common sides are nothing but linear pairs.

 

5.2.5 Vertically Opposite Angles

Students are asked to observe scissors, laundry stands, etc. to learn about these vertically opposite angles. An experiment with pencils is explained in NCERT Solutions for Class 7 Maths Chapter 5 PDF. When the two lines are intersecting each other, two equal and opposite angles are formed in a vertical direction.

 

5.3 Pairs of Lines

Now, students of Class 7 will learn about the remaining half of the chapter, which is about lines, its types and properties with examples and explanations.

 

5.3.1 Intersecting Lines

The first concept which students have to learn is Intersecting Lines. If two lines touch each other or meet at one point, those lines are called Intersecting lines and the touching point is called the point of intersection.

 

5.3.2 Transversal

It is an extension of Intersecting lines. If two or more lines intersect at more than one point, it is known as Transversal. Students can understand more clearly by reading the PDF available in NCERT Solutions for Class 7 Maths Chapter 5 with examples like railway lines and crossing multiple roads.

 

5.3.3 Angles made by Transversal

Here, students can understand the interrelation of lines and angles. When two lines act as Transversal, students can observe eight kinds of different angles formed with these lines. All the angles are different from each other. Some are interior, exterior, adjacent angles and even corresponding angles.

 

5.3.4 Transversal of Parallel Lines

In this topic, students will come to know the variations of parallel lines, if they are transversal. If Transversal cuts two parallel lines, each pair of corresponding angles and alternate interior angles are equal. Also, the pair of interior angles on the transversal side are supplementary to each other. So, a simple intersection can cause many angles and can change their properties.

 

5.4 Checking for Parallel Lines

So far, students learned to find angles based on the lines. And now, students can try to learn about the lines based on the angles formed, i.e. vice versa of the previous topic. If two lines are transversal and the corresponding angles are equal, the lines are parallel to each other.

 

Key Features of NCERT Solutions for Class 7 Maths Chapter 5

NCERT Solution for Class 7 Maths Chapter 5 PDF available on Vedantu is highly beneficial to students. In this electronic generation, students are more competitive and knowledgeable. To enhance your abilities, make good use of well-designed NCERT Solutions for Class 7 Maths Lines and Angles chapter on the official website of Vedantu. It is very beneficial to all students for further reference along with the class and to get more information.

  • Our NCERT Solutions are well-explanatory and cover all the concepts.

  • Our solutions are available in easy-to-understand and simple language prepared by the subject experts to reach all students.

  • It enhances student’s knowledge which helps to attend competitive exams in maths and boost their self-confidence.

  • It maintains a smooth and friendly interaction between students and trainers through live chat. It helps to resolve their doubts easily.


Significances of NCERT Solutions For Class 7 Maths Chapter 5- Lines and Angles

  • The significance of NCERT Solutions for Class 7 Maths Chapter 5 - "Lines and Angles" is multifaceted and vital in a student's mathematical education. This chapter introduces fundamental geometric concepts that hold relevance far beyond the classroom.

  • Firstly, it establishes the groundwork for understanding geometry, a branch of mathematics used in various practical fields such as architecture, engineering, and design. Mastery of lines and angles is essential for making accurate measurements, creating blueprints, and solving spatial problems.

  • Secondly, these solutions foster mathematical thinking. By exploring the properties and relationships of lines and angles, students develop critical thinking, logical reasoning, and problem-solving skills. They learn to approach problems systematically and analytically.

  • Thirdly, this chapter is crucial for exam preparation. The solutions provide clear explanations and step-by-step solutions to problems commonly encountered in assessments, ensuring students are well-prepared for examinations.

  • Moreover, understanding lines and angles enhances visual literacy, enabling students to interpret diagrams, maps, and graphs effectively. In an increasingly data-driven world, this skill is invaluable.

  • These concepts serve as building blocks for more advanced mathematical topics, laying the foundation for future studies in geometry and trigonometry.

  • Lastly, the accessibility of these solutions in the NCERT format ensures that quality education is available to all, promoting inclusivity in learning. In essence, NCERT Solutions for Class 7 Maths Chapter 5 - "Lines and Angles" empower students with mathematical skills that extend far beyond academic excellence, equipping them to tackle real-world challenges and make informed decisions in various aspects of life.


Conclusion 

NCERT Solutions for Class 7 Maths Chapter 5 - "Lines and Angles" provide a robust framework for understanding the fundamental concepts of geometry. This chapter explores the properties and relationships between lines and angles, setting a strong foundation for more advanced mathematical studies. These solutions offer clarity and comprehensive explanations, ensuring that students grasp the principles of geometry effectively. Moreover, they encourage critical thinking and problem-solving skills, nurturing a deeper understanding of spatial relationships and mathematical logic. These solutions not only aid in academic success but also equip students with the skills necessary for practical applications in various fields, making them well-rounded learners with a strong mathematical foundation.

FAQs on NCERT Solutions for Class 7 Maths Chapter 5 - Lines And Angles

1. What are the main contents of Class 7 Maths Chapter 5 Lines and Angles?

The main topics that are included in the fifth chapter of Class 7 Maths Lines and Angles are:

  1. Introduction

  2. Related Angles

    1. Complementary Angles

    2. Supplementary Angles

    3. Adjacent Angles

    4. Linear Pair

    5. Vertically Opposite Angles

  3. Pairs of Lines

    1. Intersecting Lines

    2. Transversal

    3. Angles made by a Transversal

    4. Transversal of Parallel Lines

  4. Checking for Parallel Lines

Students can find the solutions to the NCERT textbook questions related to these topics on Vedantu’s site. This will help students to clear all their doubts regarding the chapter.

2. How are NCERT Solutions for Class 7 Maths Chapter 5 useful for students?

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles is the best study material for practising and revising the chapter. Especially for those students who are finding difficulties in solving problems, these solutions by the expert teachers are immensely helpful. NCERT Solutions for Class 7 Maths Chapter 5  is really helpful to understand the chapter and clear the doubts quickly. Students can score well in the exam by referring to NCERT Solutions for Class 7 Maths available in the free PDF format.

3. Where can I find good quality NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles?

There are many online platforms available that cater to chapter-wise NCERT Solution for Class 7 Mathematics. However, it is crucial to download the same from the authentic site which offers the complete coverage of the exercise questions. Vedantu is one such site where one can find good quality NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles. These solutions include stepwise explanations of the exercise problems. Also, these are available for free download, in high-resolution PDF quality. Hence, students need not struggle in finding the solutions. They can instantly clear their doubts regarding the chapter with the help of Vedantu’s NCERT Solutions for Class 7 Maths Chapter 5.

4. What are the key features of Vedantu’s NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles?

Following are some of the key features of NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles provided by Vedantu:

  • Easy to Access: NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles are available in the free to download PDF form.

  • Created by Expert Tutors: These solutions are created by experts. Hence, these are 100% verified.

  • Complete Syllabus Coverage: NCERT Solutions for Class 7 Maths for chapter 5 as well as ad other chapters provide complete coverage of the exercise questions. 

  • As per the Board Guidelines: These solutions are prepared at Vedantu as per the CBSE board guidance and the latest exam pattern. 

5. What are the Important Topics Covered in NCERT Solutions Class 7 Maths Chapter 5?

The most important topics covered in NCERT Solutions Class 7 Maths Chapter 5 are Relative Angles And Their Properties, Complementary Angles, Supplementary Angles, Adjacent Angles, Linear Pairs, Vertically Opposite Angles, Pair Of Lines, Intersecting Lines, Transversal, The Angle Made By A Transversal, A Transversal Of Parallel Lines And Checking For Parallel Lines. These topics are explained thoroughly with their respective properties in great detail that are used to solve various questions in this chapter.

6. How Many Questions are there in NCERT Solutions Class 7 Maths Chapter 5 Lines and Angles?

There are two exercises in NCERT Solutions Class 7 Maths Chapter 5 Lines and Angles. Exercise 5.1 has 14 questions with most of its questions having multiple subparts. Exercise 5.2 has six questions with its questions having sub-parts as well. These questions revolve around the basic topics of the chapter Lines and Angles and to solve them, one requires the knowledge of all the concepts that are given in the chapter. To check the solutions, students can download the NCERT Solutions free of cost from Vedantu platform.

7. Mention the topics that are covered in NCERT Solutions for Class 7 Maths Chapter 5?

Relative Angles And Their Properties, Complementary Angles, Supplementary Angles, Adjacent Angles, Linear Pairs, Vertically Opposite Angles, Pair Of Lines, Intersecting Lines, Transversal, The Angle Made By A Transversal, A Transversal Of Parallel Lines, And Checking For Parallel Lines are some of the important topics covered in NCERT Solutions Class 7 Maths Chapter 5. All the solutions to these topics are easily available on Vedantu website and the app.

8. How is NCERT Solution for Class 7 Maths Chapter 5 helpful for board exams?

The NCERT Solution for Class 7 Maths Chapter 5 is very helpful for board exams as all the questions are answered with utmost precision with all the formulae written along to make it convenient for the students to revise along. These questions set the base for board examination as they are very concept based questions and hence have to be answered tactfully. The NCERT Solutions will not only help the students understand the answers better, but they will also help them remember the key concepts.

9. How to score full marks in Class 7 Maths Chapter 5?

To score full marks in any domain of Maths, you must do only one thing - practice. Practice is not only the key to understanding all the concepts on a deeper level, but it will also help you avoid silly mistakes. You will also get to know the kind of answer the question demands and will be able to frame your answers better.