RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions

In geometry, we frequently come across geometrical patterns consisting of angles that possess specific relations amid themselves. Here in the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions, we will discuss the relations between the angles formed between lines, which is concerned under the Lines and Angles. Moreover, students will also learn about the topics like- relation of angles and linear pairs of angles.

For practice on these types of questions, we have provided the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF from which learners will get to solve several types of questions related to the angle relations and linear pair of angles. The PDF contains the questions from the 9th Class CBSE Text Book and the RD Sharma.

Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF

Solutions for Class 9 Maths Chapter 8 Lines and Angles Exercise 8.2

Important Questions RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions

Linear Pair of Angle

When the angle connecting the two lines is 180 degrees (180°), they make a straight angle. A straight angle is simply another way to denote a straight line. A straight line can be envisioned as a circle with an endless radius. A line segment is any part of a line that has two endpoints. Also, a division of any line with only one endpoint is known as a ray. A line segment with P and Q as two endpoints is denoted as.

Adjacent Angles shares a standard vertex, a usual side, and no common interior points of angles. The Adjacent Angles share a vertex and side, but they don’t overlap.

Examples of RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions

Ques-  In the figure, ∠AOC and ∠BOC make a linear pair. If a – 2b = 30°, find a and b? Solution-

Given, ∠AOC and ∠BOC make a linear pair.

=> a + b = 1800 …..)

a – 2b = 300 …(2) (given)

On subtracting equation (2) from (1), we get

a + b – a + 2b = 180 – 30

3b = 150

b = 150/3

b = 500

Since, a – 2b = 300

a – 2(50) = 30

a = 30 + 100

a = 1300

Ques- In the figure, POS is a line, find x. Solution-

From the figure, ∠POQ and ∠QOS are linear pairs.

Therefore,

∠POQ + ∠QOS=1800

∠POQ + ∠QOR+∠SOR=1800

600 + 4x +400 = 1800

4x = 1800 -1000

4x = 800

x = 200

Hence, the value of x is 200

Fill in the Blanks Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions

1. Suppose two parallel lines intersected by a transversal, then each pair of corresponding angles are_______.
2. Two lines perpendicular to the same line are______ to each other.
3. If a transversal meets a pair of lines in such a way that the sum of interior angles on the seine side of the transversal is 180°, then the lines are_______.
4. Two lines parallel to the similar line are________ to each other.

Answers of above fill in the blanks-

1. Equal
2. Supplementary
3. Parallel
4. Parallel

Frequently Asked Questions (FAQs) for Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions

Ques 1- What is an example of a linear pair of angles?

Ans- Scissors. A pair of scissors is a perfect example of Linear Pair of angles. The sides of scissors adjacent to each other and have usual vertex O, form an angle of 180° (180 degrees).

Ques 2- What are the angle pair relationships?

Ans- Pairs of angles can correlate to each other in various ways. For example- supplementary angles, complementary angles, vertical angles, alternate interior & alternate exterior angles, adjacent angles, and corresponding angles.