Question

look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle ops = 58^{circ}$, what is $mangle tsu?$

Explanation:

Step1: Identify angle - relationship

$\angle OPS$ and $\angle TSU$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\overleftrightarrow{OQ}\parallel\overleftrightarrow{RT}$, $m\angle TSU = m\angle OPS$.

Answer:

$58$