SOLUTION: Whats the solution to this equation: Two angles are supplementary. The measure of one angle is 10 more than three times the other. Find the measure of each angle.

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Question 602457: Whats the solution to this equation: Two angles are supplementary. The measure of one angle is 10 more than three times the other. Find the measure of each angle.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Whats the solution to this equation: Two angles are supplementary. The measure of one angle is 10 more than three times the other. Find the measure of each angle.
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x + y = 180
x = 3y+10
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Substitute for "x" and solve for "y":
3y+10 + y = 180
4y = 170
y = 42.5 degrees
x = 3y+10 = 137.5 degrees
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary means they add up to 180 degrees
Let the angles be +a+ and +b+ degrees
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(1) +a+%2B+b+=+180+ degrees
(2) +a+=+3b+%2B+10+ degrees
Substitute (2) into (1)
(1) +3b+%2B+10+%2B+b+=+180+
(1) +4b+=+170+'
(1) +b+=+42.5+
and
(1) +a+%2B+b+=+180+
(1) +a+%2B+42.5+=+180+
(1) +a+=+137.5+
check:
(2) +a+=+3b+%2B+10+
(2) +137.5+=+3%2A42.5+%2B+10+
(2) +137.5+=+127.5+%2B+10+
(2) +137.5+=+137.5+
OK