Those are supplementary angles, therefore:

Answer:
∠YXZ = 58°
Step-by-step explanation:
Use the angle sum theorem and the given relations.
∠WXY +∠WXV = ∠YXV
∠WXY +(11° +3∠WXY) = 139°
4∠WXY = 128° . . . . . subtract 11°
∠WXY = 32° . . . . . . . divide by 4
Similarly, ...
∠WXY +∠YXZ = 90°
∠YXZ = 90° -∠WXY = 90° -32°
∠YXZ = 58°
Answer:
See explanation
Step-by-step explanation:
Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).
Find the slopes of all sides:
- horizontal line
- slope undefined, so the line is vertical
- horizontal line
- slope undefined, so the line is vertical
Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle