Question

1. If OP is the bisector of ZAOC and OQ is the bisector of ZBOC then find ZPOQ.

Answer 1

Answer:

Also we can simply say that ∠POQ=½(

∠AOC+∠BOC)= ½∠AOB

The way how I have done it is explained given below step by step:

Step-by-step explanation:

Let, m∠AOC=x and m∠BOC=y

Given that, OP and OQ are the bisectors of ∠AOC and ∠BOC

Therefore, ∠POQ= ∠POC + ∠COQ

= x/2 + y/2

= ½(x+y)

= ½(∠AOC+ ∠BOC)

= ½∠AOB