Question

In Triangle XYZ, the measure of angle X is 5/8 as large as the measure of angle Y. If the measure of angle Z is 1/4 as large as the measure of the angle Y, what's the measure of all three angles.

I've tried making up numbers to fit in the problem, but nothing is working. My teacher gave a hint that there is an equations that would figure this out.

Answer 1

of course there's an equation.

5/8 y + y + 1/4 y = 180
y = 96
so, x = 60 and z = 24