Given:
The ratio of sides of triangle MAP is 2:3:5.
To find the smallest angle:
Let the sides be 2x, 3x, and 5x.
Using the angle sum property of the triangle,
[tex]\begin{gathered} 2x+3x+5x=180 \\ 10x=180 \\ x=18 \end{gathered}[/tex]Therefore, the smallest angle is,
[tex]\begin{gathered} 2x=2(18) \\ =36^{\circ} \end{gathered}[/tex]Hence, the smallest angle is 36 degrees.