Question

find the value of x.

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the non - adjacent interior angles be \(33^{\circ}\) and \(180^{\circ}- 103^{\circ}\). First, find the adjacent interior angle: \(180^{\circ}-103^{\circ}=77^{\circ}\). Then, using the exterior angle theorem \(x = 33^{\circ}+77^{\circ}\).

Step3: Calculate the value of \(x\)

\(x=33 + 77=110\)

Answer:

\(110\)