Respuesta :

The number of sides of the regular polygon is 26

The formula for calculating the exterior angle of a regular polygon is expressed as:

Exterior angle of a polygon = 360 ÷ number of sides.

Given the following:

Exterior angle of a regular polygon = 13.8 degrees

Required

Number of sides

Substitute the given parameters into the formula as shown:

Exterior angle of a polygon = 360/13.8

Exterior angle of a polygon = 26.08

This means that the number of sides of the regular polygon is 26

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