If an exterior angle of a regular polygon measures 45°, how many sides does the polygon have?

Question

If an exterior angle of a regular polygon measures 45°, how many sides does the polygon have?
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Solution 1

The measure of each exterior angle of a regular polygon is given by the formula 360/n, where n is the number of sides of the polygon.

Given that the exterior angle measures 45°, we can set up the equation 360/n = 45 and solve for n:

360/n = 45 360 = 45n n = 360/45 n = 8

So, the polygon has 8 sid Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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