SOLUTION: The measure of the complement of an angle is two hundred ten less than five times the measure of the angle. Find the measure of both angles.

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Question 778475: The measure of the complement of an angle is two hundred ten less than five times the measure of the angle. Find the measure of both angles.
Answer by algebrahouse.com(1659) About Me  (Show Source):
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Complementary angles add up to 90°.

x = the angle
90 - x = its complement

90 - x = 5x - 210 {the complement is equal to 210 less than five times the angle}
90 = 6x - 210 {added x to each side}
300 = 6x {added 210 to each side}
x = 50 {divided each side by 6}
90 - x = 40 {substituted 90, in for x, into 90 - x}

the angle is 50°
the complement is 40°

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