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

Find The Value Of X That Will Make AB A В 4x 2x X class=

Sagot :

MrRoyalidn

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]

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