Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle opr = 139^{circ}$, what is $mangle opm$?

Explanation:

Step1: Recall linear - angle property

$\angle OPR$ and $\angle OPM$ form a linear - pair.

Step2: Use linear - pair formula

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

Step3: Solve for $m\angle OPM$

Given $m\angle OPR = 139^{\circ}$, then $m\angle OPM=180^{\circ}-m\angle OPR$. Substitute $m\angle OPR = 139^{\circ}$ into the formula: $m\angle OPM = 180 - 139=41^{\circ}$.

Answer:

$41$