SOLUTION: What is the measure of the larger angle of two supplementary angles if two-fifths of the larger angle is 5 less than the smaller angle?

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Question 348064: What is the measure of the larger angle of two supplementary angles if two-fifths of the larger angle is 5 less than the smaller angle?
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let smaller angle =x
larger angle = 180-x
...
2(180-x)/5=x-5
360-2x=5(x-5)
360-2x =5x-25
5x+2x=360+25
7x=385
/7
x=385/7
x=55 smaller angle
Larger angle = 180-55
= 125

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