Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure of the first angle is 6 ° less than three times the measure of the second.

Question

Mathematics

Caleb Mccullough

24 January, 18:23

Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure of the first angle is 6 ° less than three times the measure of the second.

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Answers (1)

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Issac · Answer 1

Let the second angle be x.

Second angle = x

First angle = 3x - 6

The sum of the two angles is 180°

x + 3x - 6 = 180

4x - 6 = 180

4x = 186

x = 186 : 4 = 46.5°

Second angle = 46.5°

First angle = 3 (46.5) - 6 = 133.5°

Answer: The angles are 46.5° and 133.5°