In triangle ABC, the measure of angle X is eight times the sum of the measures of angles Y and Z. The measure of angle Y is three times the measure of angle Z.

Question

What are the mesurements of the angles

Answer 1

Let z = the measure of ∠Z

Let 3z = the measure of ∠Y

Let 8(z + 3z) = the measure of ∠X

z + 3z + 8(4z) = 180

4z + 32z = 180

36z = 180

z = 5º

3z = 15º

32z = 160º