Question

The vertex angle of an isosceles triangle measures ( 6x -9)° and one of the base angles measures (4x)°. What is the value of x?

Answer 1

x = 13.5

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,

`6x - 9 + 4x + 4x = 180`

`= > 6x - 9 + 8x = 180`

`= > 14x - 9 = 180`

`= > 14x = 180 + 9 = 189`

`= > x = (189)/(14) = 13.5`