The measure of one supplementary angle is 45 degrees more than twice the measure of the other. Write an equation to find the measure of each angle. Solve to find each angle

Question

Mathematics

Amy

13 May, 19:51

The measure of one supplementary angle is 45 degrees more than twice the measure of the other. Write an equation to find the measure of each angle. Solve to find each angle

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Answers (1)

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Cristina Powell · Answer 1

Supplementary means they add up to 180°

x=2y+45

180 = x+y

plug in

180 = 2y+45+y

180=3y+45

-45 both sides

135=3y

:3 both sides

45=y

solve for X

plug in

x=2 (45) + 45x

x=90+45

x=135

y=45