Geometryhard · Past Paper

In a regular polygon, if the ratio of an interior angle to an exterior angle is 3:2, how many sides does the polygon have?

A4
B5
C6
D8

✓ Correct Answer: B5

Int + Ext = 180. 3x + 2x = 180; 5x = 180; x = 36. Ext angle = 2*36 = 72. n = 360/72 = 5.

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