Question

look at this diagram! if (overleftrightarrow{tv}) and (overleftrightarrow{wv}) are parallel lines and (mangle tus = 123^{circ}), what is (mangle wxu)?

Explanation:

Step1: Use the property of supplementary angles

Since \( \overleftrightarrow{TV} \parallel \overleftrightarrow{WV} \) and \( \overleftrightarrow{EB} \) is a transversal. \( \angle TUS\) and \( \angle WXU\) are supplementary angles.
The formula for supplementary angles is \(m\angle TUS + m\angle WXU=180^{\circ}\)

Step2: Solve for \(m\angle WXU\)

Given \(m\angle TUS = 123^{\circ}\), substitute into the formula:
\(m\angle WXU=180^{\circ}-m\angle TUS\)
\(m\angle WXU = 180^{\circ}- 123^{\circ}\)
\(m\angle WXU=57^{\circ}\)

Answer:

\(57\)