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

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,

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

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

$= > 14x - 9 = 180$

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

$= > x = \frac{189}{14} = 13.5$