Question 529002
the measure of the vertex angle of an isosceles triangle is one-fourth that of a base angle. What is the measure of each base angle and the measure of the vertex angle? 
-----
Let each base angle be "4x"
Then the vertex angle is "x"
----
Equation: 
4x + 4x + x = 180
9x = 180
x = 20 degrees (size of the vertex angle)
=====================
Cheers,
Stan H.
=====================