The measure of the supplement of an angle is five times the measure of the complement of the same angle.Find the measure of the angle.
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Answer:
the required angle for the given problem is 22.5°
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Step-by-step explanation:
Supplementary angles add up to 180 degrees.
Complementary angles add up to 90 degrees.
X is the angle.
180-x is the supplement
90-x is the complement
(180-x) = (5)(90-x)
solve for x, then find 180-x
180 - x = 450-5x
4x = 270
x = 67.5
Supplement = 180-67.5 =112.5
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