Answer:
x = 6
Step-by-step explanation:
From the picture attached,
DUCK is an isosceles trapezoid.
Segment PQ is the mid-segment.
By mid-segment theorem,
"If a line connecting the midpoints of the two legs is parallel to the base, length of the mid-segment will be equal to half of the sum of parallel bases.
(4x - 8) = [tex]\frac{1}{2}(20+12)[/tex]
4x - 8 = 16
4x = 16 + 8
4x = 24
x = 6
Therefore, the value of x is 6.
