Question

look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle tsu = 67.6^{circ}$, what is $mangle tsp$?

Explanation:

Step1: Identify angle - relationship

$\angle TSU$ and $\angle TSP$ are supplementary angles.

Step2: Recall supplementary - angle property

Supplementary angles add up to $180^{\circ}$. So $m\angle TSU + m\angle TSP=180^{\circ}$.

Step3: Solve for $m\angle TSP$

$m\angle TSP = 180^{\circ}-m\angle TSU$. Substitute $m\angle TSU = 67.6^{\circ}$ into the equation. Then $m\angle TSP=180 - 67.6=112.4^{\circ}$.

Answer:

$112.4$