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22 November, 13:20

Solve for x. Enter your answer in the box. x = ° An irregular hexagon. The angles of the hexagon are x degrees, 108 degrees, 113 degrees, 132 degrees, 75 degrees and 160 degrees.

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  1. 22 November, 16:23
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    x = 132°

    Step-by-step explanation:

    The sum of the interior angles of a polygon is

    sum = 180° (n - 2) ← n is the number of sides

    A hexagon has 6 sides, thus n = 6

    sum = 180° * 4 = 720°

    Sum the given interior angles and equate to 720

    x + 108 + 113 + 132 + 75 + 160 = 720, that is

    x + 588 = 720 (subtract 588 from both sides)

    x = 132°
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