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emmasim [6.3K]
3 years ago
9

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.
Mathematics
1 answer:
Dominik [7]3 years ago
6 0
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 `.
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