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15 May, 05:53

If a particular polygon has exterior angles that measure (x+5) °, (2x-7) ° and (5x+10) °, what is the value of x?

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  1. 15 May, 06:24
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    The sum of the exterior angles of any polygon is 360°.

    x + 5 + 2x - 7 + 5x + 10 = 360

    8x + 8 = 360 added all x terms 1x + 2x + 5x = 8x and constants 5 - 7 + 10 = 8

    8x + 8 - 8 = 360 - 8

    8x = 352

    x = 44 divided both sides of the equation by 8
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