Find the remaining angles of a triangle, an isosceles triangle ABC with base AC, if the angle is C = 37.

In order to find the two remaining angles of an isosceles triangle, let’s start by recalling the property of angles at the base of an isosceles triangle.

So, in an isosceles triangle, the angles at the base are equal to each other.

And from the condition we are given just the angle at the base and it is equal to 37 °. This means that the second angle at the base is also 37 °.

And we also know that the sum of the angles of a triangle is 180 °.

x + 37 + 37 = 180;

x = 180 – 37 – 37;

x = 106 °.

Answer: 37 ° and 106 ° are the other two angles of the triangle.