maya135 maya135

23-01-2018
Mathematics

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The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

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MegantheTurtle MegantheTurtle

23-01-2018

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

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