Question

An angle measures 37.8° less than the measure of its supplementary angle. what is the measure of each angle?

Answer 1

71.1° and 108.9°

Explanation:

• An angle measures 37.8° less than the measure of its supplementary angle. what is the measure of each angle?

Supplementary angles are those angles that sum up to 180°

x + x + 37.8 = 180

2x = 180 - 37.8

2x = 142.2

x = 142.2 : 2

x = 71.1 (smaller angle)

71.1 + 37.8 = 108.9 (larger angle)

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Check

71.1 + 108.9 = 180

108.9 - 71.1 = 37.8