The measure of each angle is 113.4 and 66.6 degrees
Let one of the angle be x
The measure of its supplement will be 180 - x
If the angle measures 46.8° more than the measure of its supplementary angle, this is expressed as:
x = 180 - x + 46.8
x + x = 180 + 46.8
2x = 226.8
x = 226.8/2
x = 113.4 degrees
Other angle = 180 - 113.4
Other angle = 66.6 degrees
Hence the measure of each angle is 113.4 and 66.6 degrees
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