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RD Sharma Class 7 Maths Solutions Chapter 14 - Lines and Angles

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Last updated date: 23rd May 2024
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RD Sharma Solutions for Class 7 Maths Chapter 14 - Lines and Angles - Free PDF Download

Free PDF download of RD Sharma Solutions for Class 7 Maths Chapter 14 - Lines and Angles solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 14 - Lines and Angles Exercise Questions with Solutions to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced), NEET, Engineering and Medical entrance exams.

 

Download NCERT Solutions PDF and opt to cross-refer post-answering questions to score subject-best marks. 

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Class 7 RD Sharma Textbook Solutions Chapter 14 - Lines and Angles

In this Chapter 14 - Lines and Angles, several exercise questions with solutions for RD Sharma Class 7 Maths are given to help the students and understand the concepts better

 

Important Concepts of the Chapter

Following are some of the important concepts that are being discussed in this chapter:

  • Introduction to Lines and Angles

  • Related angles

  • Complementary Angles

  • Supplementary Angles

  • Adjacent Angles

  • Linear Pair

  • Vertically Opposite Angles

  • Pairs of Lines

  • Intersecting Lines

  • Transversal

  • Angles made by a Transversal

  • Transversal of Parallel Lines

  • Checking for Parallel Lines

 

Introduction to Lines and Angles

It is really essential for us to thoroughly understand angles. We observe several angles in our day to day life. For example, foods like a slice of pizza or cake or nachos, have angles. Alphabets have angles like ‘L’ has a right angle. The hands of a clock make angles between them.

A plethora of other examples can be provided where lines and angles are applied. 

Let us familiarise ourselves with some important terms and definitions related to lines and angles:

  • Line segment-A part of a line that has two endpoints is called a line segment.

  • Ray-A part of a line with one endpoint is called a ray.

  • Collinear points-When three or more points lie on the same line, then they are called collinear points.

  • Non-collinear points-If three or more points do not lie on the same line, they are called non-collinear points.

  • Angle-When two rays originate from the same endpoint, an angle is formed.

  • Vertex-The rays making an angle are called the arms of the angle and the endpoint is called the vertex of the angle. 

  • The acute angle-An acute angle is an angle that measures between 0° and 90°

  • The right angle-An angle that is exactly equal to 90°, is a right angle. 

  • The obtuse angle-An angle that is greater than 90° but less than 180° is called an obtuse angle.

  • The straight angle-An angle that is equal to 180°, is a straight angle. 

  • Reflex angle-An angle that is greater than 180° but less than 360° is called a reflex angle. 

 

Related Angles

  • Complementary Angles-  When two angles have a sum of 90°, they are called complementary angles. In that case, we can say that one angle is complementary to the other angle.

  • Supplementary Angles- When two angles have a sum of 180°, they are called supplementary angles. Therefore, we can say that one angle is supplementary to the other angle.

  • Adjacent Angles-When two angles are adjacent, they have a common vertex and a common arm. The non-common arms will be on different sides of the common arm. Furthermore, the angle formed by the two non-common arms will always be equal to their sum.

  • Linear Pair- When the sum of two adjacent angles is 180°, they are called a linear pair of angles.

  • Vertically Opposite Angles-When, two lines intersect each other at a point, vertically opposite angles formed. There will always be two pairs of vertically opposite angles.

 

Pairs of Lines

  • Intersecting Lines- When two lines touch or meet at one point, then they are called intersecting lines. Here, the touching point is called the point of intersection.

  • Transversal- A line that intersects or meets two or more lines at distinct points is called a transversal.

  • Angles made by a Transversal-We can find eight types of different angles with the lines when two lines act as transversal. All angles are distinct from one another. There are interior, exterior, adjacent angles and corresponding angles.

  • Transversal of Parallel Lines- When a transversal cuts two parallel lines, every pair of corresponding angles and alternate interior angles are equal. Moreover, the pair of interior angles on the side of the transversal are supplementary to each other. Thus, a mere intersection can produce several angles and alter their properties.

 

Checking for Parallel Lines

We learned how to find different angles based on the lines. Now, we will learn about how the lines are based on the angles formed. If two lines are represented by the transversal and the corresponding angles are equal, then the lines are said to be parallel to each other.

 

Conditions for Lines to be Parallel

For two lines to be parallel, when a transversal cuts two lines any one of the following conditions must be fulfilled:

  • When corresponding angles are equal.

  • When alternate angles are equal.

  • When the interior angles on the same side of the transversal are supplementary. 

FAQs on RD Sharma Class 7 Maths Solutions Chapter 14 - Lines and Angles

1. What is called an angle as taught in chapter 14 of class 7 RD Sharma Maths book?

In the chapter on lines and angles, it is crucial for us to understand what angles actually mean. Students must get their doubts cleared on the topic. In simple words, an angle can be described as an angle is formed when two rays originate from one endpoint. There are several types of angles and they can be classified into several groups based on certain characteristics.

2. What are the different types of angles as taught in chapter 14 of class 7 RD Sharma Maths book?

The following types of angles are in the course which is mentioned below. 

  • Acute Angle: When an angle is less than 90 degrees, it is an acute angle. 

  • Obtuse Angle: When an angle is more than 90 degrees but less than 180 degrees, it is an obtuse angle. 

  • Right Angle: When an angle is 90 degrees, it is a right angle. Straight Angle: When an angle is 180 degrees, it is a straight angle. 

  • Reflex Angle: When an angle is more than 180 degrees but less than 270 degrees, it is a reflex angle. Full Angle: When an angle is 360-degrees, it is called a full angle.

3. What are “lines” as taught in chapter 14 of class 7 RD Sharma Maths book? 

There are many ways to describe a line to a student.One simple way we could explain it could be: A line can be described as a series of closely spaced points or dots that extend infinitely in both directions on a plane. A line is two dimensional in nature whereas a point is one dimensional.

4. What is an angle pair as taught in chapter 14 of class 7 RD Sharma Maths book?

We have come across several examples of angle pairs in the chapter lines and angles. Let us see what an angle pair actually means in geometry. In order to describe them in simple words, we could say that they are angles that arise in pairs to represent certain geometrical properties. Some examples are complementary angles, supplementary vertically opposite angles, linear pairs, etc.


We have provided step by step solutions for all exercise questions given in the pdf of Class 7 RD Sharma Chapter 14 - Lines and Angles. At Vedantu, students can also get Class 7 Maths Revision Notes, Formula and Important Questions and also students can refer to the complete Syllabus for Class 7 Maths, Sample Paper and Previous Year Question Paper to prepare for their exams to score more marks.