Final answer:
The other angle that could be in the isosceles triangle is 42 degrees.
Step-by-step explanation:
An isosceles triangle has two congruent angles and two congruent sides. Let's call the measure of the congruent angles x degrees. Since the sum of the angles in a triangle is 180 degrees, we have:
x + x + 96 = 180
2x + 96 = 180
2x = 180 - 96
2x = 84
x = 84/2
x = 42
So, the other angle that could be in the isosceles triangle is 42 degrees.