Since the triangle is isosceles, the other two angles must be congruent.
Option 1: If the other two angles are also 56°, then the triangle is equilateral. This is possible.
Option 2: If the other two angles are greater than 56°, then the sum of the angles will be greater than 180°, which is not possible in a triangle.
Option 3: If the other two angles are less than 56°, then the sum of the angles will be less than 180°, which is possible in a triangle.
Therefore, the measures possible for the other two angles are: 56°, 56° and any two angles less than 56° such that their sum is equal to 124°.