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

You should of course know that the sum of the 3 angles is 180°

how about angle Y = x
then angle X = (5/8)x
and angle Z = (1/4)x

so 5x/8 + x/4 + x = 180

I suggest you multiply each term by 8, the LCD
and it is a piece of cake after that.