What is the number of sides of a regular polygon whose each exterior angle has a measure of?

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Last updated at Aug. 4, 2018 by Teachoo

Example 2 Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°. Given that Exterior angle = 45° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° Exterior Angle × Number of sides = 360° 45° × n = 360° n = 360"°" /45"°" n = 8 ∴ Polygon has 8 Sides.