Question

if m∠nop = 24 and m∠noq = 100, what is m∠poq?

Explanation:

Step1: Identify angle - relationship

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 $\angle NOP = 24^{\circ}$ and $\angle NOQ=100^{\circ}$, then $\angle POQ=100 - 24$.

Answer:

$76^{\circ}$