Given:
The ratio of the measures of the angles of the triangle MOP = 4:5:6
So, the sum of the ratios = 4 + 5 + 6 = 15
and the sum of the angles of the triangle = 180
so, the unit rate will be = 180/15 = 12
So, the meaures od the angles will be as follows:
4 x 12 = 48
5 x 12 = 60
6 x 12 = 72
So, the answer will be: the measure of the smallest angle = 48