SOLUTION: two angles are supplementary if the sum of their measure is 180degrees. find two supplementary angles such that the larger angle is 70degrees more than 4 times the smaller angle

Question 670339: two angles are supplementary if the sum of their measure is 180degrees. find two supplementary angles such that the larger angle is 70degrees more than 4 times the smaller angle
Answer by VirtualMathTutor(26) (Show Source): You can put this solution on YOUR website!
Two angles are supplementary if they add up to 180 degrees.
let the angles be x and y
so x + y = 180
let x be the larger angle and y the smaller angle
y = 70 + 4x
substitute this into x + y = 180
x + 70 + 4x = 180
5x + 70 = 180
5x = 110
x = 22 degrees
substitute x = 22 into any of the equations, let's use x + y = 180
22 + y = 180
y = 158 degrees
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