Given an isosceles triangle. One of its angles is 80 degrees. What can the other two angles be equal to?

An isosceles triangle is a triangle with equal sides and equal angles at the base. The angles in any triangle add up to 180 °. Let’s solve the problem in two ways:

1 way. The 80 ° angle is the angle at the apex of the triangle. Then the sum of the same angles at the base is equal to:

180 ° – 80 ° = 100 °;

angle at base = 100 ° / 2 = 50 °

Answer: 50 °, 50 °, 80 °.

Method 2. The 80 ° angle is the angle at the base of the triangle. Then the other angle at the base is also 80 °. Then the angle at the apex of the triangle is:

180 ° – 80 ° – 80 ° = 20 °

Answer: 80 °, 80 °, 20 °