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23 June, 10:16

The measure of each angle of a regular polygon is 162. How many sides does the polygon have?

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  1. 23 June, 10:45
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    If all interior angles are 162, polygon has 20 sides.

    Explanation:

    Questioner has mentioned that a polygon has interior angles of 162 It is assumed from this that all interior angles are 162.

    As interior angles are 162, each exterior angle is 180-162=18.

    Sum of all the exterior angles of a polygon is always 360 and as each exterior angle is 18,

    Number of angles / sides of polygon are 360 / 18 = 20
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