SOLUTION: the vertex angle of an isosceles triangle is four less than twice the base angle. what is the measure of the vertex angle?

Algebra.Com
Question 638452: the vertex angle of an isosceles triangle is four less than twice the base angle. what is the measure of the vertex angle?
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
the vertex angle of an isosceles triangle is four less than twice the base angle. what is the measure of the vertex angle?
**
let x=base angle
2x-4=vertex angle
sum of angles in a triangle=180º
2x+2x-4=180
4x=184
x=46
2x-4=92-4=88
vertex angle=88º

RELATED QUESTIONS

The measure of the vertex angle in an isosceles triangle is six less than four times the... (answered by josgarithmetic)
each base angle of an isosceles triangle is 15 more than the vertex angle. What is the... (answered by TimothyLamb,stanbon)
The vertex of an isosceles triangle measures 80 what is the measure of each base... (answered by Alan3354)
The measure of each base angle of an isosceles triangle is 10 degrees less than twice the (answered by Earlsdon)
The measure of the vertex angle of an isosceles triangle is ten more than twice its one... (answered by Alan3354)
The measure of the vertex angle of an isosceles triangle is twice the measure of a base... (answered by solver91311)
The vertex angle of an isosceles triangle is thrice the measure of the vertex... (answered by Alan3354)
the vertex angle of an isosceles triangle measures 80 degrees. what is the measure of... (answered by solver91311,richwmiller)
The measure of the vertex angle of an isosceles triangle is three times the measure of... (answered by checkley77)