Question

look at this diagram: if $overrightarrow{oq}$ and $overrightarrow{rt}$ are parallel lines and $mangle tsp = 43^{circ}$, what is $mangle tsu$?

Explanation:

Step1: Identify angle - relationship

$\angle TSP$ and $\angle TSU$ are supplementary angles since they form a linear - pair.

Step2: Use the supplementary - angle property

The sum of two supplementary angles is $180^{\circ}$. Let $m\angle TSP = 43^{\circ}$ and $m\angle TSU=x$. Then $x + 43^{\circ}=180^{\circ}$.

Step3: Solve for $m\angle TSU$

$x=180^{\circ}-43^{\circ}$.
$x = 137^{\circ}$.

Answer:

$137$