SOLUTION: Find the vertex angle of an isosceles triangle with base angles of (8x-7) and (6x+9). Show your work for credit.

Algebra ->  Triangles -> SOLUTION: Find the vertex angle of an isosceles triangle with base angles of (8x-7) and (6x+9). Show your work for credit.      Log On


   

Question 286942: Find the vertex angle of an isosceles triangle with base angles of (8x-7) and (6x+9). Show your work for credit.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Let 'y' be the vertex angle. Recall that the angles in a triangle add to 180 degrees. So %288x-7%29%2B%286x%2B9%29%2By=180. Also, since we're dealing with an isosceles triangle, this means that the base angles are equal. This means that 8x-7=6x%2B9. Solve this equation for 'x' and then use that solution to find 'y'.