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4 November, 04:29

Each interior angle of a regular polygon is 120 greater than each exterior angle calculate the number of sides

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  1. 4 November, 08:16
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    Step-by-step explanation:

    Let exterior angle be x

    Interior angle = x + 120

    Interior angle and exterior angle are linear pair

    x + x + 120 = 180

    2x + 120 = 180

    2x = 180 - 120

    2x = 60

    x = 60/2

    x = 30°

    No. of sides = 360°/measurement of exterior angle

    = 360/30

    = 12 sides
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