Answer:
x = 4
Explanation:
if a line is parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally.
line EF is parallel to side CD of the triangle and intersects the other 2 sides , then
=
( substitute values )
=
( cross- multiply )
6(2x + 2) = 5(x + 8) ← distribute parenthesis
12x + 12 = 5x + 40 ( subtract 5x from both sides )
7x + 12 = 40 ( subtract 12 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4