Question

point p is in the interior of ∠noq. if m∠nop = 37° and m∠noq = 122°, what is m∠poq? m∠poq =

Explanation:

Step1: Recall angle - addition postulate

We know that $\angle NOQ=\angle NOP+\angle POQ$.

Step2: Solve for $\angle POQ$

We can rewrite the formula as $\angle POQ=\angle NOQ - \angle NOP$. Given that $\angle NOP = 37^{\circ}$ and $\angle NOQ=123^{\circ}$, then $\angle POQ=123^{\circ}- 37^{\circ}$.

Step3: Calculate the result

$123 - 37=86$. So, $m\angle POQ = 86^{\circ}$.

Answer:

$86$