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

Mathematics

1 answer:

KengaRu [80]3 years ago

5 0

Answer:

$x = 30^{\circ}$

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:

$2x + 4x = 180$

Solving further, we have:

$6x = 180$

Divide both sides by 6

$\frac{6x}{6} = \frac{180}{6}$

$x = \frac{180}{6}$

$x = 30^{\circ}$

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