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5 August, 01:56

If a regular polygon has exterior angles that measure 40 degrees each, how many sides does the polygon have?

A. 10

B. 9

C. 6

D. 8

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Answers (1)
  1. 5 August, 02:23
    0
    The measure of the exterior angle of a regular polygon is the quotient when a whole revolution, 360 degrees, is divided by the number of sides (n). This is shown in the equation,

    A = 360 / n

    From the given above,

    40 = 360 / n; n = 9

    Therefore, the answer is letter B. 9.
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