Question

a side of the triangle below has been extended to form an exterior angle of 126°. 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

We know that the exterior angle is 126° and one non - adjacent interior angle is 104°, and the other is \(x\). So, \(x + 104^{\circ}=126^{\circ}\).

Step3: Solve for \(x\)

Subtract 104° from both sides of the equation: \(x=126^{\circ}- 104^{\circ}\).
\(x = 22^{\circ}\)

Answer:

\(22\)