The measure of the supplementary angles are 48° and 132°.
Let the measure angle be x.
Its supplementary angle will be x + 84
We know that the sum of supplementary angles is 180°.
So, we get the equation as:
x + x + 84 = 180
Combining the like terms, we get that:
2 x + 84 = 180
Subtract 84 from both sides, we get that:
2 x = 180 - 84
2 x = 96
Divide both sides by 2, we get that:
x = 96 / 2
x = 48°
x + 84 = 48+ 84 = 132°
Therefore, we get that, the measure of the supplementary angles are 48° and 132°.
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