Question

Explanation needed it the answer

Answer 1

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 .

`(c)/(5) = \cos(60) = (1)/(2)`

c = 2.5 units

Hence length AB is equal to; 2(2.5) units + 3 units = 8 units