1. The problem asks if a right triangle can be solved given only the measures of its two acute angles and no side lengths. 2. In a right triangle, the sum of the three angles is always $180^\circ$, and one angle is $90^\circ$. 3. If the two acute angles are known, the third angle (the right angle) is already known as $90^\circ$. 4. However, knowing only the angles does not provide any information about the lengths of the sides. 5. Triangles with the same angles are similar, meaning their side lengths are proportional but not fixed. 6. Without at least one side length, the triangle cannot be uniquely solved because the scale is unknown. 7. Therefore, the triangle cannot be fully solved (side lengths found) with only the two acute angles given. 8. To solve a right triangle, at least one side length or additional information is required.