Question

The exterior angle of a regular polygon is equal to one – third of the interior angle. Calculate the number of sides of the polygon and give its name.

Answer 1

x + ¹/₃x =180°
¾ × ⁴/₃x = 180 × ¾
x = 135°
exterior = 45°
n = 360 = 8 sides (octagon)
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