An angle measures 42 less than its complementary angle. What is measure of each angle?

1 answer:

6 0

First angle = x
Second angle = x - 42
Sum both complementary angles = 90

x+x-42=90
2x=132
x=66⁰ - First angle
x-42=66-42=24
24⁰ - Second angle

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user100 [1]

$\left\{\begin{array}{ccc}-5x-6y=-9&/\cdot2\\3x+4y=25&/\cdot3\end{array}\right\\+\left\{\begin{array}{ccc}-10x-12y=-18\\9x+12y=75\end{array}\right\\------------\\.\ \ \ \ \ \ \ -x=57\\.\ \ \ \ \ \ \ \ \ x=-57\\\\3\cdot(-57)+4y=25\\-171+4y=25\\4y=25+171\\4y=196\ \ \ \ /:4\\y=49\\\\Solution:x=-57;\ y=49.$