A geometry problem by madhav srirangan

Geometry Level 4

On a given circle with center O, chord QR is extended to S, such that RS is equal to the radius of the circle. The line segment SO is then extended to cut the circle at P. If angle PSQ is 12 degrees, find angle POQ (in degrees).


The answer is 36.

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Madhav Srirangan by madhav srirangan , 20, India

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2 solutions

Madhav Srirangan
Sep 10, 2015

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Note that in your question, the point S was not defined.

I've attempted to write the problem, based on your submitted solution. Please verify if it is correct.

Calvin Lin Staff - 5 years, 9 months ago

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tq sir i checked it

madhav srirangan - 5 years, 1 month ago

I did it till I got angle OQR as Madhav Srirangan. Then,

For triangle OQS, external angle POQ =12+24=36.

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