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Question

The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.

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Solution

Suppose exterior angle of a polygon = x
And interior angle = 5x (0.5 mark)
The sum of both exterior and interior angle is 180°.
x+5x=180
6x=180
x=1806=30° (1 mark)
Exterior angle of a polygon = 30°
The number of sides of the
Polygon =360Exterior angle of a polygon
=36030=12 (1.5 mark)

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