Question

Prove that the bisectors of the angles of a linear pair are at right angles...Please answer fast, it's urgent...Prove that the angle between the bisector of a linear pair of angles is a right angle

Answer 1

Let AB is a straight line.
and,OC bisect the line AB.
then,
As it bisect the angle,
so ,angle AOC = angle BOC
Now,we know that ,sum of linear pair angle is 180° .
so,angle AOC + angle BOC = 180°
2(angle AOC)= 180°
angle AOC = 90°
hence ,it is a right angle .proved