Question

find the value of x.

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
Let the exterior angle be \(123^{\circ}\), and the two non - adjacent interior angles be \(x^{\circ}\) and \(59^{\circ}\). So, \(x + 59=123\).

Step2: Solve for \(x\)

Subtract \(59\) from both sides of the equation \(x + 59=123\).
\(x=123 - 59\).

Answer:

\(x = 64\)