Soccergirl1910 Soccergirl1910

01-01-2018
Mathematics

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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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01-01-2018

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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