The measure of each of the angles are 126 and 54 degrees
Supplementary angles
The sum of angles that is equivalent to 180 degrees are supplementary angles.
If one of two supplementary angles is 12° more than one-third of the other angle, hence the angles are;
x and 1/3x +12
Take the sum and equate to 180 degrees
x +1/3x + 12 = 180
4/3 x = 180 - 12
4/3x = 168
4x = 168 * 3
x = 42 * 3
x = 126
Other angle = 180. - 126
Other angle = 54 degrees
Hence the measure of each of the angles are 126 and 54 degrees
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