In an isosceles triangle ABC, the angle A is 110 degrees. Find corner C.

Consider a triangle ABC.

Because by the condition of the problem, it is isosceles, then the angles at its base will be equal to each other.

Since the angle A is 110 °, i.e. it is obtuse, it cannot be an angle at the base, because and the second angle at the base will also be obtuse, but this cannot be, since the sum of their degree measures will be more than 180 °.

Therefore, we can conclude that the angle C is the angle at the base, and it is equal to the angle B. Let it be equal to x.

Since the sum of all the angles in a triangle is 180 °, we will compose the equation:

110 ° + x + x = 180 °;

2x = 180 ° – 110 °;

2x = 70 °;

x = 35 °.

Answer: angle C = 35 °.