Question

Prove that the angle subtended between the bisector of the angles of a linear pair is right angle

Answer 1

If angles are linear pair then both sum=180°.
Angle POQ=180
Bisect the angle and divide it into two equal parts.
Let one angle I.e angle POR=x
then other angle ROQ=x
(bisector bisects the angle in two equal parts)
Now, x+x=180(linear pair)
2x=180
x=90
Hence proved...

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