The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.

angles X = 45°

angles Y = 45°

angles Z = 90°

Step-by-step explanation:

Given:

angles X = angles Y = x°

angles Z = 2 angles Y = 2x°

Find:

Each angle

Computation:

Using angle sum property

angles X + angles Y + angles Z = 180

x + x + 2x = 180

4x = 180

x = 45°

So,

angles X = 45°

angles Y = 45°

angles Z = 90°