NCERT Solutions for Class 9 Maths Chapter 6
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Lines and Angles Class 9 NCERT deals with the basic geometrical application of angles and their relationship with lines. It delves into
- How angles are formed when two lines intersect each other, and
- When one line intersects more than one parallel line at different points to form distinct angles.
Our NCERT Solutions for Class 9 Maths Ch 6 offers a well-structured study material to help students in developing a clear idea of the functioning of angles and lines. Our step-by-step solutions for Class 9 Maths Lines and Angles are developed by expert teachers with years of experience behind them. It aids in ease of understanding of a subject matter by covering all the crucial points in this chapter. Students can download the PDF format of our NCERT Solutions for Class 9 Maths Chapter 6 to learn about lines and angles on the go. These solutions are essential when self-studying and can assist a student in solving this exercise on their own.
This chapter has many exercises. We will brief students about these on this page. It will help students in understanding the concepts given in this chapter in an easy way. Let's have a look at the exercises included in Chapter 6 Lines and Angles.
A quick overview of the first exercise of Maths NCERT Solutions Class 9 Chapter 6 is given below.
NCERT Solutions for Class 9 Maths Chapter 6 – Exercise 6.1
This exercise deals with how different lines pass through a single point to form different angles. It also delves into the relationship between two or more lines and how their slanted placements develop distinct angles. Students can refer to our NCERT Solutions Class 9 Maths Chapter 6 to understand the dynamics of lines and angles in a comprehensive manner. It will allow them to develop a detailed idea of lines and angles and aid them in acing their examinations.
The first question presents three lines, two of which intersect each other at a single point and another ray of a line which slants from the origin forming three separate angles in relation to the other two lines. This question in the NCERT Solutions for Class 9 Maths Chapter 6 also mentions two angular figures, one of which is a summation of two upward angles, and the other is an isolated angle forming downwards.
It asks students to use this information and compute two angles – one is a part of the summation mentioned in the question, and the other is an angle formed between two upward angles. Students can refer to our Lines and Angles Class 9 NCERT Solutions to learn the methodology and solve it on their own.
This question also shows two lines that intersect each other and another line that goes perpendicular to the horizontal line. These three lines form several distinct angles in relationship to each other. This question further mentions an angular figure and a ratio between two angles, the summation of which forms a right angle.
With this information, students are asked to evaluate a third angle which is placed down from the horizontal line. Students can take the help of our NCERT Solutions for Class 9 Maths Chapter 6 to solve this question.
It is a tricky question that asks students to prove an equation between two angles. The diagram in question presents a horizontal ray of line and two lines on it rising upwards from two distinct points to converge into a triangle. It forms five angles, two of which are established as equal.
Students need to prove the equality of two angles which forms outside of the triangle using the provided information. Students can refer to our Lines and Angles Class 9 Solutions if they face any difficulty understanding the concept behind this question.
The diagram in this question shows four rays of lines that deviate in different directions from a single point forming four distinct angles. In this question, there is an equation that establishes the relationship between the summations of two angles on both sides.
With this information, students are asked to prove that the two lines which form the center of the diagram also form a single straight line. In the diagram, it can be observed that these four angles which form part of the equation create a 360-degree angle.
Students can refer to our NCERT Solutions for Class 9 Maths Chapter 6 to solve the sum or understand the underlying concept of this solution to develop a proper idea.
The figure in this question shows three lines, one of which is horizontal. The other two lines are lying on the horizontal plane, deviating in different directions. One of these lines is perpendicular in relation to the horizon to form a right angle. Students need to prove the equality between these two angles. One of the angles can be directly derived from the diagram and for the other, students need to deduct two angles and then divide it by 2.
With this information, the students need to prove the validity of such an equation as posed in this question. Students can take a look at our Class 9 Maths NCERT Solutions Chapter 6 free PDF to grasp the idea behind such derivation of the proof.
The figure in this question presents a horizontal line with two other lines slanting in different directions from the origin. It forms four angles, one of which is mentioned in the question. It also poses a supposition that one of the lines on the horizon bisects the other.
Students need to utilize this information to find the angle which lies between the horizon and one of the two slanted lines and also the reflex angles in between the other slanted line and the horizon.
Students can refer to our NCERT Solutions for Class 9 Maths Chapter 6 to better engage their analytical skills to solve the question quickly.
There are two more exercises to this chapter which further delves into different concepts that rise out of lines and angles. Students can find shortcut techniques to solve these questions in the Lines and Angles Class 9 NCERT Solutions PDF.
They can also decide to learn the solutions step-by-step in the NCERT Solutions for Class 9 Chapter 6 to develop a more comprehensive idea of it which can have far-reaching learning implications well after they ace their examinations.
NCERT Solution of Class 9 Maths Chapter 6 – Lines and Angles Exercise 6.2
The exercise mainly deals with a line or lines intersecting two or more parallel lines and how their relationships form different angles – both reflex and obtuse. It also delves into different rays of lines joined at their endpoints to form figures of different shapes, which create multiple angles.
Students can find a more detailed outlook in the NCERT Solution Class 9 Chapter 6 PDF from Vedantu. The solutions have been structured by subject experts to help students learn the concepts and dynamics of lines and angles in a comprehensible manner.
NCERT Solution for Class 9 Maths Chapter 6 – Lines and Angles Exercise 6.3
The exercise mentioned in the NCERT Solution of Maths Class 9 Chapter 6 deals with triangles and rays of line. The exercise explores the various concepts which are related to triangles and their relation to lines. Students can find the Lines and Angles Class 9 explanation available in the free PDF useful when solving this exercise. The learning curve from the previous exercises would also help the students in solving the exercise.
Students can also gain a more in-depth insight into the concepts of lines and angles by solving Class 9 Maths Chapter 6 extra questions to be prepared for anything that might come in their examinations. A more profound take on the chapter would also help the students in their board examinations and well beyond it.
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Students can download free PDF of the NCERT Solutions for Class 9 Maths Chapter 6. It allows them to look into topics and problems which they find difficult to grasp. The solutions are developed to provide a detailed view of the subject matter simply for ease of understanding. For last-minute exam stress, students can refer to Lines and Angles important questions for Class 9 to have adequate practice and preparation before examinations. Solving these questions will assist the students in attaining high scores in their assessments.
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