Geometrymedium · Past Paper
Two tangents PA and PB are drawn to a circle with center O from an external point P. If angle APB = 80 degrees, find angle POA.
A40 degrees
B50 degrees
C80 degrees
D100 degrees
✓ Correct Answer: B — 50 degrees
Angle OAP = 90. Angle APO = 40 (half of 80). In triangle OAP, angle POA = 180 - 90 - 40 = 50 degrees.
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