SOLUTION: find the measures of an isosceles triangle if the measure if the vertex angle is 40 degrees less than the sum of the base angles

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: find the measures of an isosceles triangle if the measure if the vertex angle is 40 degrees less than the sum of the base angles      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 228895: find the measures of an isosceles triangle if the measure if the vertex angle is 40 degrees less than the sum of the base angles
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
let the vertex angle=v and a base angle=b
v=2b-40 given
2b+v=180 all the angles of a triangle add up to 180.
2b+2b-40=180 replace v with 2b-40
4b=220
b=55
v=70
.
Ed