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look at this diagram: if rt and uw are parallel lines and m∠wvs = 49°, …

Question

look at this diagram: if rt and uw are parallel lines and m∠wvs = 49°, what is m∠rsv?

Explanation:

Step1: Identify angle - type relationship

$\angle WVS$ and $\angle RSV$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle RSV=m\angle WVS$.

Answer:

$49^{\circ}$