Question

What is value of x?



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x =

Answer 1

x = 10

Explanation:

Since the line from A is an angle bisector the following ratios are equal

`(AB)/(AC)` =
`(x+4)/(2x+1)`, that is

`(8)/(12)` =
`(x+4)/(2x+1)` ( cross- multiply )

8(2x + 1) = 12(x + 4) ← distribute both sides )

16x + 8 = 12x + 48 ( subtract 12x from both sides )

4x + 8 = 48 ( subtract 8 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10