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The measure of each of the supplementary angles are: 88.6° and 91.4°.
Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.
Given the following:
Let one of the angles equal x
The second angle would be expressed as: x + 2.8
Therefore, we would have the equation:
x + 2.8 + x = 180 [supplementary angles]
2x + 2.8 = 180
2x = 180 - 2.8
2x = 177.2
x = 177.2/2
x = 88.6
Thus:
One of the angles = x = 88.6°
Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°
Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.
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