Question

if m∠nsm = 98°, then what is m∠msp? answer attempt 1 out of 2 m∠msp =

Explanation:

Step1: Note vertical - angle relationship

$\angle NSM$ and $\angle MSP$ are supplementary angles (a linear - pair of angles).

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle NSM = 98^{\circ}$ and $m\angle MSP=x$. Then $x + 98^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-98^{\circ}=82^{\circ}$

Answer:

$82$