Answer:
x = 4
Step-by-step 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
[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]
[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( 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
