Answer
If you know two sides, you can find one or more trig function (depending on sides). With one trig function, you can find on of the acute angles and be able to solve for the other.
Work Step by Step
1. No matter which two sides you have, as you can use trig functions(cosine, sine, and tangent) and inverse of them (secant, cosecant and cotangent to find one of the acute angles of triangle).
$\sin\theta = \frac{opp}{hyp}$
$\cos\theta = \frac{adj}{hyp}$
$\tan\theta =\frac{opp}{adj} $
2. We also can find the other acute angle by using formula of the sum of angles in a triangle.
$180^{\circ} = \angle A + \angle B +90^{\circ}$