In the adjoining figure PQ and PR are tangents from P to a circle with centre O If angle - Maths - Solids

Question

In the adjoining figure PQ and PR are tangents from P to a circle
with centre O If angle POR = 55 find angle QPR

Awesome · Answer

I think I found the answer:
In triangle POR,
angle ORP = 90 ( tangent is perpendicular to radius )
angle POR = 55 (given)
angle OPR = 180-90+55 = 35
OP bisects angle QPR
=> angle QPR = 2(angle OPR)
​angle QPR = 70

In the adjoining figure PQ and PR are tangents from P to a circle with centre O. If angle POR = 55 find angle QPR.