Question

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

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. Here, \(86^{\circ}\) and \((2x + 8)^{\circ}\) are vertical angles. So the equation is \(2x+8 = 86\).

Step2: Solve the equation for \(x\)

Subtract \(8\) from both sides of the equation \(2x+8 = 86\):
\(2x+8 - 8=86 - 8\)
\(2x=78\)
Divide both sides by \(2\):
\(x=\frac{78}{2}\)
\(x = 39\)

Answer:

\(x = 39\)