Question

Prove that bisector of two adjacent supplementary angles include a right angle

Answer 1

Hello Dear!!!

Here's your answer...

The sum of supplementary angles is 180

And the angles are bisected...

The measure of bisected angles are equal...

LET,

The measure of two angles be x

x+x =180

2x = 180

x = 180/2

x = 90

The measure of each angle is 90

Angles which measure 90 are called as right angles...

Hence proved....

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HOPE THIS HELPS YOU....

Answer 2

The angles whose sum equals 180° are supplementary.
Consider a bisector which divides it into two angles whose measures are equal.
The angles are x and x
They sum up to 180°
2 x = 180°
x = 90°
90° represents a right angle. 
Hence proved.