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

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