How to find the angles of a trapezoid

Question

The perimeter of a trapezoid is 5 and the lengths of its sides are integers. What are the smallest two angles of the trapezoid.

The perimeter is 5 so I get 1*2+1*1+2*1 as the sides. But how do I find out the angles?

Answer 1

$AD=1$ and $AF=\frac12$, so $m\angle A=\frac\pi3$.