HARD
9th Manipur Board
IMPORTANT
Earn 100

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

Important Questions on Lines and Angles

HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.1>Q 5
In the △ABC, ∠ABC=∠ACB. If the side BC 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
∠AOB is bisected by the ray OC and ray OD is opposite to the ray OC. Prove that ∠AOD and ∠BOD 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.

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HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.2>Q 2

In the adjoining figure, ∠AOC=2y-13° and ∠BOC=3y-12°, find all the four angles.

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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.
HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.2>Q 4
If two straight lines intersect each other, prove that the ray opposite to the bisector of one angles thus formed bisects the vertically opposite angle.
HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.2>Q 5
From a point O in a line AB, ray OC and OD are drawn on opposite sides of AB such that ∠BOC=∠AOD. Prove that OC and OD are opposite rays.
HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 6 - Lines and Angles>EXERCISE 6.3>Q 1

In the given figure, AB∥CD, ∠BPR=130° and ∠CQR=30°. Find ∠PRQ.

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