Each angle of a polygon is 150°. How many sides does it have?

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Solution

Measure of each angle of the given polygon = 150°

We know that the sum of the angles of a polygon with n sides = (n −2) × 180°

Sum of the angles of the given polygon = 150° × n

⇒ 150° × n = (n − 2) × 180°

⇒ 5° × n = (n − 2) × 6°

Thus, the given polygon has 12 sides.

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