SOLUTION: two angles are supplementary.the measure of one angle is 10 degrees more than three times the measure of the other angle.find the measure of each angle.

Question 248815: two angles are supplementary.the measure of one angle is 10 degrees more than three times the measure of the other angle.find the measure of each angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two angles, x and y
;
two angles are supplementary, therefore:
x + y = 180
:
the measure of one angle is 10 degrees more than three times the measure of the other angle.
x = 3y + 10
:
find the measure of each angle.
Substitute (3y+10) for x in the 1st equation
(3y+10) + y = 180
3y + y = 180 - 10
4y = 170
y =
y = 42.5 degrees
then
x = 3(42.5) + 10
x = 127.5 + 10
x = 137.5 degrees
;
:
Check solutions: 137.5 + 42.5 = 180
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