The measure of the angles are 102 and 78 degrees
- Let one of the angles be x
- Let the other angle be y.
If the difference of two supplementary angles is 24 degrees, then;
x - y = 24
y = x - 24
Taking the sum of the angles and equating to 180 degrees since they are supplementary
x + y = 180
x + x - 24 = 180
2x = 180 + 24
2x = 204
x = 102
Since y = 180 - x
y = 180 - 102
y = 78 degrees
Hence the measure of the angles are 102 and 78 degrees
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