The ratio of the measure of the vertex angle to the base angle of an isosceles triangle is 8:5. Find the measure of the vertex angle.

Question

Thank you, Need help 

Answer 1

the two base angles are equal

both base angles are 5x and the vertex angle is 8x where x is some integer

8x+5x+5x=180

18x=180

x=10

5*10=50 and 8*10=80

the vertex angle is 80º (answer)

each base angle is 50º

50+50+80=180