Questions: Look at this diagram: If R T and U W are parallel lines and m angle TSV = 128 degrees, what is m angle WVS?

Transcript text: Look at this diagram: If $\overleftrightarrow{R T}$ and $\overleftrightarrow{U W}$ are parallel lines and $m \angle T S V=128^{\circ}$, what is $m \angle W V S$

Solution

Solution Steps

Step 1: Identify the given information

We are given that $ \overleftrightarrow{RT} $ and $ \overleftrightarrow{UW} $ are parallel lines and $ m \angle TSV = 128^\circ $.

Step 2: Recognize the relationship between angles

Since $ \overleftrightarrow{RT} $ and $ \overleftrightarrow{UW} $ are parallel lines, and $ \overleftrightarrow{QV} $ is a transversal, the corresponding angles are equal. Therefore, $ m \angle TSV = m \angle WVS $.

Step 3: Calculate the measure of $ \angle WVS $

Since $ m \angle TSV = 128^\circ $ and $ \angle TSV $ is corresponding to $ \angle WVS $, we have: \[ m \angle WVS = 128^\circ \]