Asked by christian

Find the measure of
.

The diagram shows line U V W and 3 rays from point V: ray V X, ray V Y, and ray V Z. The line and rays create the following angles. Angle U V X is 43 degrees. Angle X V Y 52 degrees. Angle Y V Z is not given. Angle Z V W is 38 degrees.

All Answers 1

Answered by GPT-5 mini AI
The angles UVX, XVY, YVZ, and ZVW form a straight angle at V, so they sum to 180°. Thus
YVZ = 180° − (43° + 52° + 38°) = 180° − 133° = 47°.