In triangle ABC, angle A is 32 degrees AC = BC. Find the corner C.

We are given a triangle ABC, it is isosceles (two sides are equal by condition). By the property of an isosceles triangle, we have the equality of the angles at its base:
Angle A = Angle B = 32 °.
Knowing. what is the sum of the angles of the triangle (180 °), we can find the third unknown angle C:
Angle C = 180 ° – (angle A + angle B) = 180 ° – (32 ° + 32 °) = 180 ° – 64 ° = 116 °.
Answer: the angle C is equal to 116 °.