The outer angle at the apex of an isosceles triangle is 78 degrees. Find the angles at the base of the triangle

A triangle is a geometric figure formed by three points that do not lie on one straight line and are connected by segments. An isosceles triangle is a triangle with two sides equal. In an isosceles triangle, the angles at the base are equal. The angles of a triangle add up to 180 degrees.

From the condition of the problem, it is known that the outer angle at the vertex is 78 degrees, since this angle is the adjacent angle of the inner corner of the triangle, then the inner angle is 180 – 78 = 102 degrees. we will answer the question of the problem.

Find the angles at the base of the triangle.

(180 – 102) / 2 = 78/2 = 39 degrees.

Answer: The angles at the base of the triangle are 39 degrees.