SOLUTION: the measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure of the angle. Thank you so much! :D

Question 306948: the measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure of the angle. Thank you so much! :D
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
he measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement. Find the measure of the angle.
:
Let x = the unknown angle
then we know:
180 - x = the supplement
and
90 - x = the complement
:
Write an equation for the statement:
The measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement."
180 - x = 3(90-x) + 12
180 - x = 270 - 3x + 12
-x + 3x = 270 + 12 - 180
2x = 102
x =
x = 51 degrees is the angle
:
:
See if that is true in the statement"
"measure of a supplement of an angle is 12 degrees greater than three times the measure of a complement."
180 - 51 = 3(90-51) + 12
129 = 3(39) + 12
129 = 117 + 12

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