perj2001 perj2001

25-09-2018
Mathematics

contestada

Angles X and Y are supplementary.Angle X is 3 times the measure of angle Y. What is the measure of angle x?

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jimrgrant1 jimrgrant1

25-09-2018

x = 135°

supplementary angles sum to 180° → x + y = 180

thus if x = 3y then

y + 3y = 180

4y = 180

divide both sides by 4

y = [tex]\frac{180}{4}[/tex] = 45 and x = 180 - 45 = 135°

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