The height BH is drawn in an isosceles triangle ABC with base AC. Find the angles of triangle ABC

The height BH is drawn in an isosceles triangle ABC with base AC. Find the angles of triangle ABC if the angle is A = 35 degrees.

Since triangle ABC is isosceles, therefore angle A = angle C.
BH is the height of angle B of an isosceles triangle, therefore BH is the median, height and bisector

Let’s find the angle ABC, based on the conclusions:

35 + 35 = 70 °, from here we find BАС:

(180-70): 2 = 55 ° (According to the rules, the sum of the angles in a triangle = 180 °).
Answer: 55 °.