# A geometry problem by Mehul Chaturvedi

Geometry Level 3

A circle with centre $$O$$ is touching two intersecting lines $$AX$$ and $$BY$$. The two points of contact $$A$$ and $$B$$ subtend an angle of 65 degreess at any point C on the circumference of the circle. If $$P$$ is the point of the intersection of the two lines, then find the measure of angle $$APO$$ given that straight lines $$AP$$ and $$PB$$ are tangents.

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