Answer
The largest angles of the triangle are 72$^{\circ}$ and the smallest angle of the triangle is 36$^{\circ}$.
Work Step by Step
The angle with a measure of 36 degrees must be the vertex angle because it is an acute triangle and the vertex would be obtuse otherwise.
base angle=.5(180-36)
base angle=.5(144)
base angle=72$^{\circ}$
72$^{\circ}$$\gt$36$^{\circ}$
