Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.1>Q 1

HARD

9th Manipur Board

IMPORTANT

Earn 100

In the adjoining figure, $A B$ and $A C$ are opposite rays. If $a - 3 b = 20 °$ , find $a$ and $b$ .

Important Questions on Lines and Angles

HARD

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.1>Q 2

In the adjoining figure, $B A C$ is a line and $x : y : z = 5 : 6 : 7$ . Find $x, y$ and $z$ .

Question Image

MEDIUM

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.1>Q 3

Two angles of a linear pair are in the ratio

6 : 3

. Find the measure of each of these angles.

HARD

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.1>Q 4

Prove that the bisectors of two adjacent supplementary angles include a right angle.

HARD

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.1>Q 5

In the

△ A B C, ∠ A B C = ∠ A C B

. If the side

B C

is produced both ways, prove that the exterior angles are equal.

HARD

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.1>Q 6

∠ A O B

is bisected by the ray

O C

and ray

O D

is opposite to the ray

O C

. Prove that

∠ A O D

and

∠ B O D

are equal.

HARD

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.2>Q 1

In the adjoining figure, find the value of $x$ .

Question Image

HARD

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.2>Q 2

In the adjoining figure, $∠ A O C = (2 y - 13) °$ and $∠ B O C = (3 y - 12) °$ , find all the four angles.

Question Image

HARD

9th Manipur Board

IMPORTANT

Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.2>Q 3

Prove that the bisectors of a vertically opposite angles are in the same straight line.