Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle srp = 115^{circ}$, what is $mangle sru$? ° submit work it out

Explanation:

Step1: Recall linear - pair property

$\angle SRP$ and $\angle SRU$ form a linear - pair. The sum of angles in a linear - pair is $180^{\circ}$.
So, $m\angle SRP + m\angle SRU=180^{\circ}$.

Step2: Solve for $m\angle SRU$

Given $m\angle SRP = 115^{\circ}$, we substitute it into the equation:
$m\angle SRU=180^{\circ}-m\angle SRP$.
$m\angle SRU = 180 - 115$.
$m\angle SRU = 65^{\circ}$.

Answer:

$65$