ANSWER:
x = 60 units
The value of 'x' in this problem is 60 units.
Explanation:
Method No. 1 - ( View first attached diagram )
There is a parallelogram in the diagram within the triangle. Parallelograms have two pairs of parralell, equivalent sides as shown by the additional red marking added in the attached diagram.
Therefore, the side which is equivalent to 30 is also equivalent to the three dashes ( | | | ).
From this:
| | | = 30
x = 2 × | | |
THEREFORE:
x = 2 × 30
x = 60 units
Method No. 2 - ( View second attached diagram )
The end points of the line which is equivalent to 30 are both located half way between each of the respective sides of the triangle as marked by the red dashes. This means that the line equivalent to 30 is half the value of the bottom side of the triangle which is equivalent to 'x'.
THEREFORE:
30 = x / 2
x = 30 × 2
x = 60 units