Question

point p is in the interior of ∠noq. if m∠nop = 37° and m∠noq = 123°, what is m∠poq? m∠poq =

Explanation:

Step1: Recall angle - addition postulate

Since point $P$ is in the interior of $\angle NOQ$, we know that $m\angle NOQ=m\angle NOP + m\angle POQ$.

Step2: Solve for $m\angle POQ$

We can rewrite the equation as $m\angle POQ=m\angle NOQ - m\angle NOP$.
Substitute $m\angle NOP = 37^{\circ}$ and $m\angle NOQ = 123^{\circ}$ into the equation: $m\angle POQ=123^{\circ}-37^{\circ}$.
$m\angle POQ = 86^{\circ}$

Answer:

$86$