Question

Consider parallelogram VWXY below.

Use the information given in the figure to find mXYW, x, and mX.

Answer 1

see below

Explanation:

Let's solve for x first. Since opposite sides of a parallelogram are congruent, 5x = 5 which means x = 1. Similarly, opposite angles of a parallelogram are congruent so m∠X = m∠V = 107°. Since ∠YWV and ∠XYW are alternate interior angles, that means that ∠XYW = 42°.