Question

look at this diagram: if su and vx are parallel lines and m∠xwt = 112°, what is m∠siw?

Explanation:

Step1: Identify angle - relationship

$\angle XWT$ and $\angle SIW$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle SIW=m\angle XWT$.

Answer:

$112^{\circ}$