Question

look at this diagram: if km and np are parallel lines and m∠noq = 124.7°, what is m∠poq?

Explanation:

Step1: Recall angle - relationship

$\angle NOQ$ and $\angle POQ$ are supplementary angles since they form a linear - pair.

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle NOQ = 124.7^{\circ}$ and $m\angle POQ=x$. Then $m\angle NOQ + m\angle POQ=180^{\circ}$, so $x = 180^{\circ}-m\angle NOQ$.

Step3: Calculate the angle measure

Substitute $m\angle NOQ = 124.7^{\circ}$ into the formula: $x=180 - 124.7=55.3^{\circ}$.

Answer:

$55.3$