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Complete the steps to find the value of x.
118°
4
(8x + 6)

Sagot :

MrRoyal

There are several relationships between angles within parallel lines and a transversal.

The value of x is 7

From the question (see attachment), we have:

[tex]\mathbf{(8x + 6)}[/tex] and 118 are exterior and interior angles of the parallel lines

This means that:

[tex]\mathbf{(8x + 6) + 118 = 180}[/tex]

Collect like terms

[tex]\mathbf{(8x + 6) = -118 + 180}[/tex]

[tex]\mathbf{(8x + 6) = 62}[/tex]

Collect like terms

[tex]\mathbf{8x= 62 - 6}[/tex]

[tex]\mathbf{8x= 56}[/tex]

Divide both sides by 8

[tex]\mathbf{x= 7}[/tex]

Hence, the value of x is 7

Read more about angles in parallel lines at:

https://brainly.com/question/2279752

View image MrRoyal
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