Answer: 116°
Step-by-step explanation:
So we don't know what the angle and we will name it angle x . We also know that angle x is 12 less than the measure of its supplement and we will represent its supplement by y. Now using the given information we can represent x by the equation x = 2y - 12
Supplementary angles add up to 180 degrees. So we know that x and y has to add up to 180 and x is equal to 2y-12 so we can also represent it by the equation y + (2y -12) = 180 now solve for y to find the supplement.
y + 2y - 12 = 180
3y - 12 = 180
+12 +12
3y = 192
y = 64
So we know the supplement is 64 and the measure of that angle has to be 12 less than two times the supplement.
so x= 2(64) - 12
x = 128 - 12
x = 116
So the measure of that angle is 116 degrees.
Now add it to its supplement to see if it equals 180 degrees.
116 + 64 = 180
180 = 180
So it works!
