Question

Find the value of x that will make A||B.
A
В
4x
2x
x
[?]

Answer 1

`x = 30^(\circ)`

Explanation:

Given

Parallel lines A and B

Required

Determine the value of x

From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:

`2x + 4x = 180`

Solving further, we have:

`6x = 180`

Divide both sides by 6

`(6x)/(6) = (180)/(6)`

`x = (180)/(6)`

`x = 30^(\circ)`