Question

if m∠nsm = 98°, then what is m∠msp?

Explanation:

Step1: Identify supplementary angles

∠NSM and ∠MSP are supplementary (they form a linear pair), so their measures add up to \(180^\circ\).

Step2: Calculate m∠MSP

Given \(m\angle NSM = 98^\circ\), use the formula \(m\angle MSP = 180^\circ - m\angle NSM\).
Substitute the value: \(m\angle MSP = 180^\circ - 98^\circ = 82^\circ\).

Answer:

\(82^\circ\)