Question

what is the measure of ∠zyw in rhombus wxyz? a. 38.5° b. 51.5° c. 77° d. 103°

Explanation:

Step1: Recall rhombus properties

In a rhombus, the diagonals bisect the angles of the rhombus.

Step2: Identify the relevant angle - bisecting property

The diagonal $WY$ bisects $\angle ZWX$. Given $\angle ZWX = 77^{\circ}$, then $\angle ZYW=\frac{1}{2}\angle ZWX$.

Step3: Calculate the measure of $\angle ZYW$

$\angle ZYW=\frac{77^{\circ}}{2}=38.5^{\circ}$

Answer:

A. $38.5^{\circ}$