Each external angle of a polygon is 20°. How many sides does it have?

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Solution

Measure of each external angle of the given polygon = 20°

We know that in a polygon, the sum of all the external angles = 360°

Let the given polygon has n external angles.

⇒ 20 × n = 360°

⇒ n = 18

Thus, the given polygon has 18 sides.

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