SOLUTION: Please help me solve this question Find two supplementary angles such that the measure of the first angle is 10 degrees less than three times the measure of the second. Thank

Algebra ->  Angles -> SOLUTION: Please help me solve this question Find two supplementary angles such that the measure of the first angle is 10 degrees less than three times the measure of the second. Thank      Log On


   

Question 223642: Please help me solve this question
Find two supplementary angles such that the measure of the first angle is 10 degrees less than three times the measure of the second.
Thankyou
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the first angle
Let y be the second angle
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Since the angles are supplementary, you can write:
Equation #1:x%2By=180
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From the information given, you can also write:
Equation #2:x=3y-10
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Now you have 2 equations with 2 unknowns, so you can solve the problem.
Substitute the expression for x in Equation #2 into Equation #1:
3y-10%2By=180
Solve for y:
4y=190
highlight%28y=47.5%29 degrees
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Substitute this value for y into Equation #1 and solve for x:
x%2B47.5=180
highlight%28x=132.5%29 degrees
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Good Luck,
tutor_paul@yahoo.com