Question

An angle measures 74° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Given that the two angles are supplementary, the measure of each angle is 127° and 53°.

What is the measure of each angle?

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°.

Learn more about supplementary angles brainly.com/question/23582576

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