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If the sum of the measures of the interior angles of a convex n-gon is equal to the sum of the measures of the exterior angles, how many sides does the n-gon have?

  • geometry -

    the sum for the exterior angles of any polygon is 360°

    so solve
    180(n-2) = 360
    180n - 360 = 360
    180n = 720
    n = 4

    looks like a quadrilateral

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