Question

1. if (mangle nop = 37) and (mangle noq = 123), what is (mangle poq)

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve for $\angle POQ$

Rearrange the formula to get $\angle POQ=\angle NOQ-\angle NOP$.
Substitute $\angle NOP = 37^{\circ}$ and $\angle NOQ = 123^{\circ}$ into the formula: $\angle POQ=123 - 37$.
$123-37 = 86$.

Answer:

$86$