Question

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

Explanation:

Step1: Observe the angle relationship

$\angle NSM$ and $\angle PSM$ are supplementary angles (they form a straight - line), so $\angle NSM+\angle PSM = 180^{\circ}$.

Step2: Solve for $\angle PSM$

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

Answer:

$98$