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QUESTION IMAGE

6 solve for x 18 12 10.7 19.3

Question

6 solve for x
18
12
10.7
19.3

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((6x - 4)+112 = 180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(6x-4 + 112=6x + 108\). So, \(6x+108 = 180\).

Step3: Solve for \(x\)

Subtract 108 from both sides: \(6x=180 - 108\), \(6x = 72\). Then divide both sides by 6: \(x=\frac{72}{6}=12\).

Answer:

12