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Science & Mathematics by Anonymous 2018-07-07 01:33:39
Social Science
What is the measure of an angle if it is 210 less than four times its own complement?
7 answers
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Anonymous
Asked and answered.
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Anonymous
The measure of an angle which is 210 less than four times its own complement: A = 4(90 - A) - 210 5A = 150 A = 30
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Anonymous
θ = 4(90-θ) - 210 θ = 30°
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Anonymous
A + 210 = 4(90 - A) => 5A = 360 - 210 = 150 => A = 30. Check: the complement is 60, and four times the complement is 240; and indeed the 30-degree angle is 210 less than a 240-degree angle.
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Anonymous
Let x be the angle. x = 4(90 - x) - 210 x = 360 - 4x - 210 5x = 150 x = 30 deg
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Anonymous
Angle = x Complement = 90 -x x +210 =4(90-x) x +210 = 360 -4x 5x = 150 x = 30
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Anonymous
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