Given triangle ABC. Angle A = 35 degrees. Find the angle B and C.

The condition of this problem is not complete. Knowing the degree measure of one angle of an arbitrary triangle, it is impossible to calculate the degree measure of the two remaining angles. Knowing one angle, we can find the other two angles only if the triangle is isosceles. An isosceles triangle has two base angles. Knowing that the sum of all the angles of the triangle is equal, and the angle at the base is -x, we make an equation.
x + x + 35 = 180
2x = 180-35
2x = 145
x = 145/2
x = 72.5 degrees.
Answer: angle B = 72.5, angle C = 72.5