Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stv = 51^{circ}$, what is $mangle pqt$?

Explanation:

Step1: Identify angle - type relationship

$\angle STV$ and $\angle PQT$ are corresponding angles.

Step2: Apply corresponding - angles property

For parallel lines $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$, corresponding angles are congruent. So $m\angle PQT=m\angle STV$.

Answer:

$51$