# How do you find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles?

##### 1 Answer

Sep 17, 2016

The measures of the angles of the isosceles triangle are 55, 55 and 70.

#### Explanation:

An isosceles triangle has two congruent base angles and a vertex angle.

Let

Let

The vertex angle is 40 degrees less than the sum of the base angles.

The sum of the measures of the angles of a triangle is 180.

Substitute

Divide by 4