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

Question

Mathematics

Greyson Potter

14 September, 08:17

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

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Answers (1)

Know the Answer?

Dayana Blackwell · Answer 1

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