Question

Solve for X. Thank you

Answer 1

x = 4

Explanation:

The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is

`(15)/(20)` =
`(x+2)/(14-(x+2))`

`(3)/(4)` =
`(x+2)/(14-x-2)` =
`(x+2)/(12-x)` ( cross- multiply )

4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )

4x + 8 = 36 - 3x ( add 3x to both sides )

7x + 8 = 36 ( subtract 8 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4