Given that the two angles are supplementary, the measure of each angle is 127° and 53°.
<h3>What is the measure of each angle?</h3>
Supplementary angles are two angles whose sum is 180 degrees.
Given the data in the question, let 'x' represent the measure of the first angle.
- Measure of first angle = x
- Measure of second angle = x - 74
- Sum of the complementary angles = 180°
Since supplementary angles are two angles whose sum is 180 degrees.
Measure of first angle + Measure of second angle = 180
x + ( x - 74 ) = 180
x + x - 74 = 180
2x - 74 = 180
2x = 180 + 74
2x = 254
x = 254/2
x = 127°
Hence,
Measure of first angle = x = 127°
Measure of second angle = x - 74 = 127 - 74 = 53°
Given that the two angles are supplementary, the measure of each angle is 127° and 53°.
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