Question

#11a: ∠wxz and ∠zxy are
#11b: m∠wxz = ____

Explanation:

Step1: Identify angle - type relationship

$\angle WXZ$ and $\angle ZXY$ form a linear - pair. A linear - pair of angles are adjacent angles that are supplementary (sum to 180°).

Step2: Calculate $\angle WXZ$

Since $\angle ZXY = 37^{\circ}$ and $\angle WXZ+\angle ZXY=180^{\circ}$, then $\angle WXZ = 180 - 37$.
$\angle WXZ=143^{\circ}$

Answer:

a. Supplementary angles
b. 143