pls solve this que trying from 2 days pls
Answers
Answer:
refer to the attachment
Step-by-step explanation:
Hope it helps !
Step-by-step explanation:
Given:
1) OQ is the angular bisector of angle BOC.
this means angle BOQ = angle QOC
let us assume , angle BOQ = angle QOC = X
2) OP is the angular bisector of angle AOC.
this means angle AOP = angle POC
let us assume , angle AOP= angle POC = Y
we need to find,
angle POQ = angle POC + angle QO
angle POQ = X + Y. ------1
as we know, Angles of a straight line is 180°
sum of angles on AB = 180
angle BOQ + angle QOC + angle AOP + angle POC = 180
X+X + Y+ Y = 180
2(X+Y) = 180
X+ Y = 90. ------2
so, from equation 1 and 2, angle POQ = X + Y = 90°
hence proved that angle POQ = 90
Note: try to understand with diagram, I don't have paper with me, that's why I didn't attached any diagram.