Question

question 4 not yet answered marked out of 2.00 flag question which are the correct measures for <wxz, <uzy, and <vyx? select one: a. <wxz cannot be determined; <uzy = 120°, <vyx = 120° b. <wxz = 120°, <uzy = 120°, and <vyx =120° c. <wxz and <uzy cannot be determined; <vyx = 120° d. <wxz, <uzy, and <vyx cannot be determined.

Explanation:

Step1: Identify linear - angle relationship

The angle adjacent to the given $60^{\circ}$ angle ($\angle VYX$) forms a linear - pair with it. Since the sum of angles in a linear - pair is $180^{\circ}$, if one angle is $60^{\circ}$, then $\angle VYX=180 - 60=120^{\circ}$.

Step2: Analyze the unknown angles

There is no information given about the parallelism of lines or any other angle - related information to determine $\angle WXZ$ and $\angle UZY$. So, $\angle WXZ$ and $\angle UZY$ cannot be determined.

Answer:

c. $\angle WXZ$ and $\angle UZY$ cannot be determined; $\angle VYX = 120^{\circ}$