Question

#10a: ∠acd and ∠bce are
#10b: m∠bce =
#11a: ∠wxz and ∠zxy are

Explanation:

Step1: Identify angle - pair relationship

$\angle ACD$ and $\angle BCE$ are vertical angles as they are opposite angles formed by the intersection of two lines.

Step2: Recall vertical - angle property

Vertical angles are congruent. Given $\angle ACD = 146^{\circ}$, then $\angle BCE=\angle ACD$.

Answer:

10a: vertical angles
10b: 146