Question

5x 91 - 2x

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles, they are equal. So we have the equation \(5x = 91 - 2x\).

Step2: Solve for \(x\)

Add \(2x\) to both sides of the equation:
\(5x+2x=91 - 2x+2x\)
\(7x = 91\)
Divide both sides by \(7\):
\(x=\frac{91}{7}\)
\(x = 13\)

Answer:

\(x = 13\)