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14 February, 03:50

If the measure of one exterior angle of a regular polygon is 156 degrees, how many sides does the polygon have?

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  1. 14 February, 03:59
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    15 sides

    Step-by-step explanation:

    with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360 degrees

    one exterior angle = 180 - one interior angle

    ∴ one ext. < = 180 - 156 = 24 degrees

    no of sides = 360 / 24 = 15 s i d e s
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