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if m∠nsm = 82°, then what is m∠psm? answer attempt 2 out of 3 m∠psm =

Question

if m∠nsm = 82°, then what is m∠psm? answer attempt 2 out of 3 m∠psm =

Explanation:

Step1: Note angle - relationship

$\angle NSM$ and $\angle PSM$ are supplementary angles, meaning $\angle NSM+\angle PSM = 180^{\circ}$.

Step2: Solve for $\angle PSM$

$\angle PSM=180^{\circ}-\angle NSM$.
Since $\angle NSM = 82^{\circ}$, then $\angle PSM=180 - 82$.
$\angle PSM = 98^{\circ}$.

Answer:

$98^{\circ}$