Question

if $m\angle nop = 24$ and $m\angle noq = 110$, what is $m\angle poq$?
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Explanation:

Step1: Identify angle relationship

From the diagram, $\angle NOQ = \angle NOP + \angle POQ$. So, $\angle POQ = \angle NOQ - \angle NOP$.

Step2: Substitute values

Given $m\angle NOP = 24^\circ$ and $m\angle NOQ = 110^\circ$, substitute into the formula: $m\angle POQ = 110^\circ - 24^\circ$.

Step3: Calculate the result

$110 - 24 = 86$, so $m\angle POQ = 86^\circ$.

Answer:

$86^\circ$