Question

please answer me this question

Answer 1

Given that ray OC stands on $\textbf{Line}$

We know that sum of angles substituted on a line is 180°

Also, it is given that angle AOC = angle COB

As we said above,
angle AOC + angle COB = 180° (Linear pair)

But angle AOC = angle COB

So place angle AOC in place of angle COB

=> angle AOC + angle COB = 180°

=> angle AOC + angle AOC = 180°

=> 2 × angle AOC = 180°

=> angle AOC = 180/2

=> angle AOC = 90°

Hence Proved.

Hope it helps dear friend ☺️

Answer 2

aob is a line so AOB=180DEGREE

NOW AOC=COB

SO AOB=AOC+BOC

=AOB=AOC+AOC

AOB=2ANGLE AOC

AOC=AOB/2

AOC=180/2 AS AOB=180

AOC=90 DEGREES