Question 836069
"If twice the measure of the supplement of an angle is equal to the sum of three times the complement plus 112 degrees, find the measure of the angle" 
:
A = the angle
You know
180-A = the supplement
and
90-A = the complement
:
Just write an equation for the given statement:
""If twice the measure of the supplement of an angle is equal to the sum of three times the complement plus 112 degrees,
2(180-A) = 3(90-A) + 112
360 - 2A = 270 - 3A + 112
-2A + 3A = 270 + 112 - 360
A = 22 degrees
:
You can check the solution in the given statement by finding the supplement and the complement