Question 200873
Half the supplement of an angle is 12 degrees less than twice the complement of the angle. 
Find the measure of the angle.
:
Let the angle be x:
:
Write a equation for the statement:
"Half the supplement of an angle is 12 degrees less than twice the complement of the angle."
{{{1/2}}}(180-x) = 2(90-x) - 12
Multiply both sides by 2 to get rid of the fraction, results:
180 - x = 4(90-x) - 24
:
180 - x = 360 - 4x - 24
-x + 4x = 360 - 24 - 180
3x = 156
x = {{{156/3}}}
x = 52 degrees is the angle
;
:
Check solution in the original equation:
{{{1/2}}}(180-52) = 2(90-52) - 12
{{{1/2}}}(128) = 2(38) - 12
64 = 76 - 12