Question

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

Explanation:

Step1: Identify angle - relationship

Vertical angles are equal. The angle measuring $140^{\circ}$ and the angle measuring $(3x - 1)^{\circ}$ are vertical angles.

Step2: Set up the equation

Since vertical angles are equal, we set up the equation $3x-1 = 140$.

Step3: Solve the equation for x

Add 1 to both sides of the equation: $3x-1 + 1=140 + 1$, which simplifies to $3x=141$. Then divide both sides by 3: $x=\frac{141}{3}=47$.

Answer:

The equation to solve for x is $3x - 1=140$, and $x = 47$.