Question

look at this diagram: if (overleftrightarrow{np}) and (overleftrightarrow{qs}) are parallel lines and (mangle por = 70^{circ}), what is (mangle srt?)

Explanation:

Step1: Identify corresponding angles

$\overleftrightarrow{NP}$ and $\overleftrightarrow{QS}$ are parallel and $\overleftrightarrow{TM}$ is a transversal. $\angle POR$ and $\angle SRT$ are corresponding angles.

Step2: Apply property of corresponding angles

Corresponding - angles formed by parallel lines and a transversal are congruent. So, $m\angle SRT=m\angle POR$.

Answer:

$70$