Question

QRST and WXYZ are similar parallelograms.
Find the measure of W.

Answer 1

∠W = 103°

Explanation:

since the parallelograms are similar then corresponding angles are congruent , then

∠ Q = ∠ W ( substitute values )

4x - 17 = 3x + 13 ( subtract 3x from both sides )

x - 17 = 13 ( add 17 to both sides )

x = 30

Then

∠ W = 3x + 13 = 3(30) + 13 = 90 + 13 = 103°