Question

look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarrow{vx}$ are parallel lines and $mangle str = 61^{circ}$, what is $mangle utr?$

Explanation:

Step1: Identify angle - relationship

$\angle STR$ and $\angle UTR$ are supplementary angles.

Step2: Recall supplementary - angle property

The sum of supplementary angles is $180^{\circ}$. So $m\angle STR + m\angle UTR=180^{\circ}$.

Step3: Solve for $m\angle UTR$

Given $m\angle STR = 61^{\circ}$, then $m\angle UTR=180^{\circ}-m\angle STR$. Substitute $m\angle STR = 61^{\circ}$ into the equation: $m\angle UTR = 180 - 61=119^{\circ}$.

Answer:

$119$