Question

What is the value of x?

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X=

Answer 1

For this case we have that by definition, the sum of the internal angles of a triangle is 180 degrees. So, we have:

`69+ (9y-3) + (5x + 2) = 180`

According to the figure, we have an isosceles triangle because the sides AB and BC are equal. Therefore it is fulfilled that:

`69 = 9y-3`

We clear the value of the variable "y":

`69 + 3 = 9y\\72 = 9y\\y = \frac {72} {9}\\y = 8`

Therefore we have:

`69+ (9 (8) -3) + (5x + 2) = 180\\69+ (72-3) + (5x + 2) = 180\\69 + 69 + (5x + 2) = 180\\69 + 69 + 5x + 2 = 180`

We add similar terms:

`140 + 5x = 180\\5x = 180-140\\5x = 40\\x = \frac {40} {5}\\x = 8`

Answer:

`x=8`