# The vertex angle of an isosceles triangle measures 20 degrees more than twice the measure of one of its base angles. How many degrees are there in a base angle of this triangle?

Nov 24, 2016

The base angles are 40°

#### Explanation:

Let the the size of each base angle be $x$.

The vertex angle is twice $x$, with another 20°
Vertex angle = 2x+20°

The sum of the three angles in a triangle is always 180°

x+x+x^2+20° = 180" "larr  now solve the equation

4x+20° = 180°

4x = 180°-20°
 4x = 160°

$x = \frac{160}{4}$

x = 40°

The angles are 40°, 40° and 100°#