Question

Find is the ratio of the interior angle pentagon and exterior angle of a hexagon

Answer 1

Answer:

While the ratio is 7:2 and given that interior + exterior angles = 180 deg , then (7+2)*x = 180 => x=20. It means that interior angle is 7*20= 140 deg and exterior 40 deg, which is also the central angle of the polygon. Then 360 deg : 40 deg = 9 sides. Thus, it's a 9gon.

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