Question

look at the diagram.
which equation can be used to solve for x?
solve for x.
x =

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Here, \(86^{\circ}\) and \((2x + 8)^{\circ}\) are supplementary. So, \(86+(2x + 8)=180\). Simplifying the left - hand side gives \(2x+94 = 180\).

Step2: Solve the equation \(2x+94 = 180\) for \(x\)

Subtract 94 from both sides:
\(2x+94-94=180 - 94\)
\(2x=86\)
Divide both sides by 2:
\(x=\frac{86}{2}\)

Answer:

\(x = 43\)