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. In this right - triangle, the exterior angle of 126° is equal to the sum of the right angle (90°) and the angle \(x\). So, \(126^{\circ}=90^{\circ}+x\).

Step2: Solve for \(x\)

Subtract 90° from both sides of the equation. \(x = 126^{\circ}-90^{\circ}\).

Answer:

\(36^{\circ}\)