Look at this diagram:

Question

Q
R
S
T
U
V
W
X

If 
RT
 and 
UW
 are parallel lines and mTSV= 132°, what is mUVS?

GPT-4o mini · Answer

To find $ mUVS $, let's analyze the diagram based on what we know. Given that $ RT $ and $ UW $ are parallel lines and $ mTSV = 132^\circ $, we can identify the relationships involving angles formed by these parallel lines and the transversal. 1. **Identify the transversal**: The line that intersects both parallel lines $ RT $ and $ UW $ creates angles on both lines. 2. **Find the corresponding angles**: Since $ RT $ is parallel to $ UW $, the angles formed in the same positions (corresponding angles) are equal. **From the information given**: - $ mTSV = 132^\circ $: This represents the angle formed at the intersection of the transversal on line $ RT $. - The corresponding angle $ mUVS $ on the line $ UW $ (since $ UVS $ corresponds to $ TSV $) will also be equal to $ mTSV $. Thus, $$ mUVS = mTSV = 132^\circ $$ Therefore, $ mUVS = 132^\circ $.