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look at the diagram. which equation can be used to solve for x? 3x + 13…

Question

look at the diagram.
which equation can be used to solve for x?
3x + 139 = 180
2x = 140
3x - 1 = 140
3x - 141 = 180
solve for x.
x =

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. Here, \(3x - 1\) and \(140\) are vertical angles. So the equation \(3x - 1=140\) can be used.

Step2: Solve the equation \(3x - 1 = 140\)

Add \(1\) to both sides:
\(3x-1 + 1=140 + 1\)
\(3x=141\)
Divide both sides by \(3\):
\(x=\frac{141}{3}=47\)

Answer:

The equation \(3x - 1 = 140\) can be used to solve for \(x\), and \(x = 47\)