Answer:
Each angle has a measure of 75 degrees
Explanation:
First of all, we know that angle Z has a measure of 120 degrees and that angle W is a right angle. This means that the measure of angle W would have to be 90.
Next, we know that because the shape is a quadrilateral, the sum of its interior angles has to be equal to 360. Since we know that the measure of angles X and Y are equal (by definition of congruent), we will label them both with the variable x. We can then say the following:
2x + 90 + 120 = 360
We can then proceed to simplify this:
2x + 210 = 360
2x = 150
x = 75
So, the measure of x and y are 75.