Question

In the given figure, OP bisects angle BOC and OQ bisects angle AOC. Show that angle POQ=90

Answer 1

aoc=90°
BOC=90
1/2BOC =45
1/2AOC=45
QOP= 1/2BOC+1/2AOC
QOP=45+45
QOP=90°

Answer 2

heya it's Aastha...

AOB is straight line
so,
◆AOC =90
◆BOC = 90.

According to question,

OP bisects angle BOC and OQ bisects angle AOC.

Since ,

QOC = 45
POC =45

then,
POQ= 90.
hence proved.....

I hope it help you