Question

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

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve the equation for x

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

Answer:

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