If the exterior angle of a regular polygon by 1\4 of its interior angle
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Ratio of interior angle to exterior angle of a regular polygon
The exterior angle of a regular polygon is one-third of its interior angle. ... Sum of exterior and interior angles is 180 deg. If the interior angle is 3x, the exterior angle is x. Hence 3x+x = 4x = 180 or x = 45.
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