Given one angle is 37^.

A parallelogram has opposite angles equal and consecutive angles supplementary (sum to $180^\circ$).
Given one angle is $37^\circ$.
The angle opposite to it is also $37^\circ$.
The consecutive angles are $180^\circ - 37^\circ = 143^\circ$.
So, the other three angles are $143^\circ$, $37^\circ$, and $143^\circ$.

The sizes of its other three angles are $\boxed{\text{143}^\circ, 37^\circ, 143^\circ}$.