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.
:
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 = {{{165/3}}}
x = 55 degrees
;
:
Check this:
(180-55) = 4(90-55) - 15
125 = 4(35) - 15
125 = 140 - 15