If two base angles of an isosceles triangle are each twice the measure of the vertex angle, what is the measure of the vertex angles?

Question

This is a word problem from a packet I have to do.

Answer 1

The base angles of an isosceles triangle are equal in measure.

let x=the vertex angle

let 2x=each of the base angles

x+2x+2x=180

5x=180

x=180/5

x=36º for the vertex angle