Find the measure of two complentary angles if one angle is 18 degrees more than two times the other

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Find the measures of two complementary angles if one angle is 18 degrees more than two times the other angle.

Apr 25th, 2015

Denote the first angle as x and second as y (degrees). Complementary angles mean x + y = 90.
"One angle is 18 degrees more than two times the other angle" translates to
x = 18 + 2*y.

Substitute this to the first equation we obtain
18 + 3y = 90, 3y = 72, y = 24.
So x = 18 + 2y = 66.

Answer: one angle is 24 degree and another is 66 degree.

Apr 25th, 2015

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Apr 25th, 2015

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Apr 25th, 2015

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