Question

if the ratio of an external angle and an internal angle of an regular polygon is 1:17 , the number of sides of the regular polygon is .

Answer 1

Answer:

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Step-by-step explanation:

The interior and exterior angles at a vertex sum to 180. Hence x + 17x = 180.

X=10 degrees.

In a regular polygon the exterior angles are equal and sum to 360 degrees.

360/10 = 36 exterior angles.

The polygon has 36 sides.