Question

Question was provided via image upload.

Explanation:

Step1: Use the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(x + x=122^{\circ}\).

Step2: Solve the equation for \(x\)

Combine like terms: \(2x = 122^{\circ}\). Then divide both sides by 2: \(x=\frac{122^{\circ}}{2}\).

Answer:

\(x = 61^{\circ}\)