Question

look at this diagram: if km and np are parallel lines and m∠poq = 126.9°, what is m∠nol? °

Explanation:

Step1: Find the measure of adjacent angle

Since $\angle POQ$ and $\angle PON$ are adjacent angles on a straight line, $\angle POQ+\angle PON = 180^{\circ}$. Given $\angle POQ = 126.9^{\circ}$, then $\angle PON=180^{\circ}- 126.9^{\circ}=53.1^{\circ}$.

Step2: Use the property of parallel lines

Because $KM\parallel NP$, $\angle NOL=\angle PON$ (alternate - interior angles).

Answer:

$53.1$