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Find the value of y and the measure of angle YPS

Find the value of y and the measure of angle YPS-example-1

1 Answer

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Angle YPR & angle RP? (5y) are a linear pair, which means they are supplementary angles. Supplementary angles have a sum of 180.
140 + 5y = 180
5y = 40
y = 8

Plug 8 back in for y. --> 5×8 = 40.

Angle YPS = 40 because it is a vertical angle to the just found 40 degree angle.
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User Rudy Velthuis
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