Answer:
Option D.
Step-by-step explanation:
According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180°.
From the given figure it is clear that
[tex]\angle A=60^{\circ},\angle S=84^{\circ}[/tex]
Using angle sum property we get
[tex]\angle A+\angle S+\angle M=180^{\circ}[/tex]
Substitute the given values in the above equation.
[tex]60^{\circ}+84^{\circ}+\angle M=180^{\circ}[/tex]
[tex]144^{\circ}+\angle M=180^{\circ}[/tex]
[tex]\angle M=180^{\circ}-144^{\circ}[/tex]
[tex]\angle M=36^{\circ}[/tex]
Therefore, the correct option is D.
