Given, Ratio between base angle and vertical angle of an isosceles triangle = 3 : 4
Let each base angle = x
Then vertex angle = 4x/3
∴ x + x + 4x/3 = 180°
(Sum of angle of a triangle)
⇒ 10x = 3 x 180°
x = 54o
∴ Each base angle = x = 54°
And vertex angle = 4x/3=(4 x 54)/3=72o