To find:
THe value of measure of angle MNS.
Solution:
Given that each angle of hexagon is 120 degrees.
It is known that the sum of interior angles of a triangle is 180 degrees. Here, the measure of angle SMN is 120 degrees. Since, SM = MN, so, angle MNS and angle NSM are equal. SO,
[tex]\begin{gathered} \angle MNS+\angle NSM+\angle SMN=180 \\ 2\angle MNS+120=180 \\ 2\angle MNS=60 \\ \angle MNS=30 \end{gathered}[/tex]
Thus, the option C is correct.
