Find the angles of an isosceles triangle if the outside angle at the base is 146 degrees.

An isosceles triangle is a triangle in which two sides are equal; opposite sides are equal angles. From the condition of the problem, it is known what the outer angle of the triangle at the base is equal to, that is, it is the adjacent angle of the inner corner of the triangle at the base. The sum of two adjacent angles is 180 degrees.
1. What is the angle of the triangle at the base?
180-146 = 34 degrees.
The other base angle is also 34 degrees.
2. What is the third angle?
180- (34 + 34) = 180-68 = 112 degrees.
Answer: Two angles are 34 degrees, and the third = 112 degrees.