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What is the measure of an exterior angle in a regular polygon with 13 sides?Write your answer as an integer or as a decimal rounded to the nearest tenth.

Question

What is the measure of an exterior angle in a regular polygon with 13 sides?Write your answer as an integer or as a decimal rounded to the nearest tenth.

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Solution

The measure of an exterior angle of any polygon can be calculated using the formula 360/n, where n is the number of sides of the polygon.

In this case, the polygon is regular and has 13 sides. So, we substitute n = 13 into the formula:

Exterior Angle = 360/13 = 27.69

Rounding to the nearest tenth, the measure of an exterior angle in a regular polygon with 13 sides is approximately 27.7 degrees.

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