Question

If ray OA is angle bisector of POQ =60 degree. Find the value of AOP.

Answer 1

angle POQ = 60 degrees 
OA is the bisector of the angle
therefore angle AOP = AOQ = 30 degrees

therefore angle AOP = 30 degrees

Answer 2

Angle POQ = 60 degrees and ray OA is the angle bisector of POQ

Therefore, angle AOP = 30 degrees  ...... Angle bisector bisects i.e. divides the angle into 2 - equal parts