Question

look at the diagram.
which equation can be used to solve for x?
solve for x.

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. The angle \(140^{\circ}\) and \((3x - 1)^{\circ}\) are vertical angles. So the equation is \(3x-1 = 140\).

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

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

Answer:

The equation is \(3x - 1=140\) and \(x = 47\)