Geometrymedium · Past Paper

In a cyclic quadrilateral, if the ratio of two opposite angles is 4:5, find the larger angle.

A80 degrees
B100 degrees
C120 degrees
D140 degrees

✓ Correct Answer: B100 degrees

4x + 5x = 180 => 9x = 180 => x = 20. Larger angle = 5 * 20 = 100 degrees.

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