Question

What is the measure of a base angle of an isosceles triangle if its vertex angle measures 50 degrees?

Answer 1

The measure of one base angle is `65` degrees.

Explanation:

We know that an isosceles triangle is composed of a vertex angle and two base angles. The base angles are congruent to each other. We also know that the sum of a triangle's angles is `180` degrees.

Our first thing to do is subtract `50` from `180`. we are left with `130` degrees for both base angles.

We divide `130` by `2` and get `65` degrees. That means that each base angle is `65` degrees. We can check our work by adding all angle measures together.