Question

look at this diagram:
if \\( \overleftrightarrow { t v } \\) and \\( \overleftrightarrow { w y } \\) are parallel lines and \\( m \angle y x z = 68 ^ { \circ } \\), what is \\( m \angle v u x \\)?

Explanation:

Step1: Identify the relationship between angles

Since \( \overleftrightarrow{TV} \) and \( \overleftrightarrow{WY} \) are parallel lines and \( \overleftrightarrow{SZ} \) is a transversal, \( \angle VUX \) and \( \angle YXZ \) are corresponding angles.

Step2: Use the property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. So \( m\angle VUX=m\angle YXZ \).

Answer:

\( 68 \)