Answer:
x = 13.5
Step-by-step explanation:
We know that base angles of an isosceles triangle are equal. The base angles of the triangle are (4x)° each. The vertex angle of the traingle is (6x-9)°. So according to angle sum property of triangle,
[tex]6x - 9 + 4x + 4x = 180[/tex]
[tex] = > 6x - 9 + 8x = 180[/tex]
[tex] = > 14x - 9 = 180[/tex]
[tex] = > 14x = 180 + 9 = 189[/tex]
[tex] = > x = \frac{189}{14} = 13.5[/tex]
