Question

o) 126° 112° x°

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let's assume the triangle has an exterior angle \(x\) and the two non - adjacent interior angles. One of the non - adjacent interior angles can be found by \(180^{\circ}- 126^{\circ}\).

$$180^{\circ}-126^{\circ}=54^{\circ}$$

Step2: Calculate \(x\)

Using the exterior angle theorem \(x=(180 - 126)+112\)

$$x = 54+112$$

$$x=166$$

Answer:

\(166\)