Question

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

Answer 1

Answer:

$x=82^{\circ}$

Step-by-step 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 :)