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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 o…
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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 o…
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Aug 24, 2017
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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
high-school
Shameca
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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 `.
Diederikh
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Aug 31, 2017
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