Question

question a side of the triangle below has been extended to form an exterior angle of 131°. 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.

Step2: Set up the equation

Let the non - adjacent interior angles be \(22^{\circ}\) and \(x^{\circ}\), and the exterior angle be \(131^{\circ}\). So, \(22 + x=131\).

Step3: Solve for \(x\)

Subtract \(22\) from both sides of the equation: \(x = 131-22\).
\(x = 109\)

Answer:

\(109\)