Answer:
x = 12
Step-by-step explanation:
The line joining the mid points of the non- parallel sides is parallel to the parallel sides and is equal to half the sum of the parallel sides, hence
5x - 20 = [tex]\frac{1}{2}[/tex](2x + 6 + 4x + 2)
= [tex]\frac{1}{2}[/tex](6x + 8) ← distribute, giving
5x - 20 = 3x + 4 ( subtract 3x from both sides )
2x - 20 = 4 ( add 20 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
