Question

find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the triangle have an exterior angle of \(126^{\circ}\), and the two non - adjacent interior angles are \(31^{\circ}\) and \(x\).
So, \(126^{\circ}=31^{\circ}+x\).

Step2: Solve for \(x\)

Subtract \(31^{\circ}\) from both sides of the equation: \(x = 126^{\circ}-31^{\circ}\).
\(x = 95^{\circ}\)

Answer:

\(95\)