Question

Solve for x if the horizontal lines below are parallel.
fo

Answer 1

`x=82^(\circ)`

Explanation:

We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is
`540^(\circ)`, we can solve for
`x`.

`x+140+138+90+90 = 540` (Angle sum of pentagon is
`540^(\circ)`)

`x+458=540` (collect like-terms)

`x=82^(\circ)`

Hope this helps :)