Parallelogram ABCD is similar to parallelogram WXYZ, such that A, B, …

Question

Prompt

Parallelogram ABCD is similar to parallelogram WXYZ, such that A, B, C, and D correspond to W, X, Y, and Z, respectively. The measure of angle A is

4 5^{\circ}

and

W X = 3 A B

. What is the measure of angle W?