Question

The ratio of exterior to interior angel is of an regular polygon is 1 is to 4 find the number of sides of the polygon and name the polygon

Answer 1

Answer:

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Step-by-step explanation:

let the interior angle of the regular polygon be X.

therefore, the exterior angle is X/4.

Exterior angle + adjacent interior angle =180°

X /4  + X=180°

5X /4  = 180°

X = 180°×  4/5 =144°

the interior angle is 144°

the exterior angle is 36°

n = 360° / exterior angle = 360°/36° = 10

The number of sides of a regular polygon is 10.

Answer 2

Answer:

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