Question

look at the diagram. which equation can be used to solve for x? 2x + 94 = 180; 2x + 94 = 90; 10x = 86; 2x + 8 = 86. solve for x. x =

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle measuring $86^{\circ}$ and the angle measuring $(2x + 8)^{\circ}$ are vertical angles.
So, we set up the equation $2x+8 = 86$.

Step2: Solve the equation for x

Subtract 8 from both sides: $2x=86 - 8$, so $2x=78$.
Then divide both sides by 2: $x=\frac{78}{2}=39$.

Answer:

The equation is $2x + 8 = 86$
$x = 39$