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Question 463587: The complement of angle x is 9 more than five times the measure of the angle. Find both angles.
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "The complement of angle x is 9 more than five times the measure of the angle. Find both angles."
Complementary angles add up to 90°.
x = the angle
90 - x = the complementary angle
90 - x = 5x + 9 {complement is 9 more than 5 times the angle}
90 = 6x + 9 {added x to both sides}
81 = 6x {subtracted 9 from both sides}
x = 13.5 {divided both sides by 6}
90 - x = 76.5 {substituted 13.5, in for x, into 90 - x}
the two angles are 13.5° and 76.5°
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