Question 1200907
let B equal one of the base angles.
let V equal the vertex angle.
you get:
180 = 2A + V
V = 3A - 10
replace V in the firsts equation with 3A - 10 from the second equation to get:
180 = 2A + 3A - 10
add 10 to both sides of the equation and combine like terms to get:
190 = 5A
solve for A to get:
A = 190/5 = 38
V = 3A - 10 = 3*38 - 10 = 114 - 10 = 104
confirm by:
180 = 2 * 38 + 104 = 76 + 104 = 180
your solution is that the vertex angle is 104 degrees.