Question

In an isosceles PQR, where PQ = PR, the bisectors of ∠PQR and ∠PRQ meet at a point O.
If ∠QPR = 80° then find the measure of ∠QOR.

Answer 1

Answer:

∠QPR=80°

∠PQR+∠QPR+∠QRP=180°

∠PQR+∠QRP=100°

2(x+y)=100°

x+y=50°

So, in △QOR

x+y+∠QOR=180°

∴∠QOR=180°−50°

=130°

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Answer 2

Answer:

ans is 130 if you want the QOR which is inside triangle QOR

if you Want the angle QoR which is outside the triangle QOR