One of the corners of an isosceles triangle is 96 degrees. Find the other two corners of the triangle.

In an isosceles triangle, the angles at the base are equal.
If 96 degrees is the angle at the base, then their sum will be 96 + 96 = 192 degrees, which cannot be, since the sum of the three angles of the triangle is 180 degrees. Therefore, the angle opposite the base is 96 degrees.
Then the remaining two angles are 180 – 96 = 84 degrees. The angles are equal, so each angle is 84/2 = 42 degrees.
Answer: Both angles are 42 degrees.