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How many sides does a regular polygon have if each of its interior angles is 165°?

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How many sides does a regular polygon have if each of its interior angles is 165°?

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Measure of each interior angle = 165°

Measure of each exterior angle = 180° − 165° = 15°

The sum of all exterior angles of any polygon is 360º.

Thus, number of sides of the polygon 

= 360°/15° = 24

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