Question

look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines and (mangle yxz = 41^{circ}), what is (mangle wux)?

Explanation:

Step1: Identify angle - relationship

$\angle ZXW$ and $\angle TUV$ are corresponding angles.

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle TUV=m\angle ZXW$.

Answer:

$41^{\circ}$