Two angles are supplementary. If one angle is 36° less than twice of the other angle, find the two angles
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4
Answer:
Let "one angle" have measurement x. Then the other is 180-x, because of the supplementary fact. But also, said angle can be expressed as 2x - 36, according to the first clause in the second sentence (in spite of its grammatical awkwardness). Solve 180 - x = 2x - 36.
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Step-by-step explanation:
one angle=x
another angle=2x-36°
(2x-36°)+x=180°
3x-36°=180°
3x=180°+36°
3x=216°
x=216°/3
x=72°
x=72°
2x-72°=2(72°)-36°
=144°-36°=108°
108°+72°=180°
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