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agasfer [191]
3 years ago
15

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

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

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

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