Question

An angle measures 38° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Smaller angle: 71°

Larger angle: 109°

Explanation:

Supplementary angles are angles that add up to 180°

Let x be the larger angle.

x + (x - 38°) = 180°

2x - 38° = 180°

2x = 218°

x = 109°

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109° - 38° = 71°