SOLUTION: the base angles of an isosceles triangle are (5x + 2y) and (7x). If the vertex angle is 36, find x.

Algebra ->  Triangles -> SOLUTION: the base angles of an isosceles triangle are (5x + 2y) and (7x). If the vertex angle is 36, find x.      Log On


   

Question 919083: the base angles of an isosceles triangle are (5x + 2y) and (7x). If the vertex
angle is 36, find x.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B2y=7x because these base angle measures must be equal.
2y=2x
highlight_green%28y=x%29

Vertex angle of 36 means x%2Bx%2B36=180, using also substitution
2x%2B36=180
x%2B18=90
highlight%28x=72%29