Two angles are supplementary if the sum of their measures is 180 degrees. The measure of the first angle is 54 degrees more than three times the second angle. Find the measure of the first angle.

Question

Mathematics

Hardy

7 January, 00:25

Two angles are supplementary if the sum of their measures is 180 degrees. The measure of the first angle is 54 degrees more than three times the second angle. Find the measure of the first angle.

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Answers (1)

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Immanuel · Answer 1

If 2 angles are supplementary:

α + β = 180°

α = 3 β + 54°

3 β + 54° + β = 180°

4 β = 126°

β = 126° : 4

β = 31° 30 '

α = 180° - 31° 30 '

α = 148° 30 '

Answer:

The measure of the first angle is 148° 30 '.