Answer:
[tex]x = 30^{\circ}[/tex]
Step-by-step 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:
[tex]2x + 4x = 180[/tex]
Solving further, we have:
[tex]6x = 180[/tex]
Divide both sides by 6
[tex]\frac{6x}{6} = \frac{180}{6}[/tex]
[tex]x = \frac{180}{6}[/tex]
[tex]x = 30^{\circ}[/tex]
