In an isosceles triangle, one of the angles is 78 degrees. Find the degrees of the remaining angles.

The problem has two solutions.

Solution 1.

1. Let’s define the third angle of an isosceles triangle if we know the degree measure of the angle at the base.

180 – 78 * 2 = 24 °.

Answer: 78 °, 78 °, 24 °.

Solution 2.

1. Let’s calculate the angles at the base when the angle at the top is known.

(180 – 78) / 2 = 51 °.

Answer: 51 °, 51 °, 78 °.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.