# maths

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If O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50 degree with PQ, then find angle POQ.

• maths -

Since the tangent is perpendicular to the radius,

OPQ = 90-40=50
also, OQP=50
so, POQ=180-50-50=100

• maths -

180-50-50=80

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