Answer:
8 units
by step explanation:
Since AB and DC are parallel to each other;
Then x + 2x = 180°
3x = 180°
x = 180/3 = 60°
∆ABC = 60° and ∆ ADC = 120°
∆BAD = 60° (adjacent angles of a trapezoid add up to 180°)
As shown in the figure attached, part of line AB is equal to 3 units and part is equal to: (c) units * 2 .
[tex] \frac{c}{5} = \cos(60) = \frac{1}{2} [/tex]
c = 2.5 units
Hence length AB is equal to; 2(2.5) units + 3 units = 8 units
