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The horizontal lines are parallel. Find the value of x.

A. 27
B. -28
C. 28
0 D. 29

The horizontal lines are parallel. Find the value of x. A. 27 B. -28 C. 28 0 D. 29-example-1
User PeS
by
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1 Answer

5 votes

Answer:

C. 28

Explanation:

Because the two lines are parallel, according to the law of co-interior angles, they will add together to 180 degrees. (Because if you slide the 4x angle down past line g, they lie on the same line on either side of g).

Therefore we can write an equation to solve for x:

4x+(2x+12) = 180

Take out of brackets:

4x+2x+12 = 180

Combine terms and move 12 to other side:

6x + 12 - 12 = 180-12

6x = 168

Divide both sides by 6:

6x/6 = 168/6

x=28

Hope this helped!

User Scott Saad
by
6.3k points