Question

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

Explanation:

Step1: Identify the angle - relationship

The two angles $(2x + 8)^{\circ}$ and $86^{\circ}$ are vertical angles. Vertical angles are equal. So the equation to solve for $x$ is $2x+8 = 86$.

Step2: Solve the equation for $x$

Subtract 8 from both sides of the equation $2x+8 = 86$. We get $2x=86 - 8$, so $2x=78$.

Step3: Isolate $x$

Divide both sides of the equation $2x = 78$ by 2. So $x=\frac{78}{2}=39$.

Answer:

$x = 39$