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

1 Answer
Nov 14, 2015

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.