SOLUTION: An angle measures 15 more than its complement. Find the two angles.
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Question 519447: An angle measures 15 more than its complement. Find the two angles.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = the angle
90 - x = its complement {complementary angles add up to 90°}
x = 90 - x + 15 {an angle equals 15 more than its complement}
x = 75 - x {combined like terms}
2x = 75 {added x to both sides}
x = 37.5 {divided both sides by 2}
90 - x = 52.5 {substituted 37.5, in for x, into 90 - x}
37.5° and 52.5° are the two angles
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