Question

look at this diagram: if qs and tv are parallel lines and m∠qru = 51°, what is m∠sru?

Explanation:

Step1: Recall angle - addition property

$\angle QRU$ and $\angle SRU$ are adjacent angles that form a straight - line. The sum of adjacent angles on a straight - line is $180^{\circ}$. So, $m\angle QRU + m\angle SRU=180^{\circ}$.

Step2: Solve for $m\angle SRU$

We know that $m\angle QRU = 51^{\circ}$. Substitute this value into the equation: $m\angle SRU=180^{\circ}-m\angle QRU$. Then $m\angle SRU = 180 - 51$.
$m\angle SRU=129^{\circ}$

Answer:

$129^{\circ}$