Geometrymedium · Past Paper

In a cyclic quadrilateral ABCD, if angle A - angle C = 60 degrees, find angle C.

A60 degrees
B120 degrees
C30 degrees
D90 degrees

✓ Correct Answer: C30 degrees

A + C = 180 and A - C = 60. Adding gives 2A = 240, so A = 120. C = 180 - 120 = 60/2 = 30? Wait, 180-120=60.

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