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9. set up an equation and solve for x: x = show your work

Question

  1. set up an equation and solve for x: x = show your work

Explanation:

Step1: Set up the equation

Since the two angles are equal (they are corresponding angles for parallel lines cut by a transversal), we set \(7x + 2=6x + 10\).

Step2: Solve for \(x\)

Subtract \(6x\) from both sides:
\(7x-6x+2=6x - 6x+10\)
\(x+2 = 10\)
Subtract 2 from both sides:
\(x+2-2=10 - 2\)
\(x=8\)

Answer:

\(8\)