SOLUTION: The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement. Find the measure of the angle.

Question 298294: The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement. Find the measure of the angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The measure of the supplement of an angle is 15 degrees less than four times the
measure of the complement.
Find the measure of the angle.
:
Let x = the angle
then
(180-x) = it's supplement
and
(90-x) = it's complement
:
It says,"the supplement of an angle is 15 degrees less than four times the
the complement."
Write an equation for this statement:
(180-x) = 4(90-x) - 15
:
180 - x = 360 - 4x - 15
:
-x + 4x = 360 - 15 - 180
:
3x = 165
x =
x = 55 degrees
;
:
Check this:
(180-55) = 4(90-55) - 15
125 = 4(35) - 15
125 = 140 - 15
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