p q is a tangent to a circle with centre o at point p if ️ opq is an isoscles ️ then find angle oqp
its a math prob
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answer is 45°
Acc. to question OP=PQ
So , by theorem
angle POQ = angle PQO
Angle OPQ is 90° as radius is perpendicular to tangent
By angle sum property of a triangle
angle PQO is 45°
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pq is tangent and Oq is radius
we know that tangent is perpendiculatr to radius
Angle Opq = 90°
Angle OPQ is isoceles
- OP = PQ
Angle OQP = Angle POQ
SO,
angle Oqp = 1/2 X 90°
= 45°
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