Question

find x. 80° 30° x 80° 110° 50° 120°

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Identify the non - adjacent interior angles

In the given triangle, the two non - adjacent interior angles to the exterior angle \(x\) are \(30^{\circ}\) and \(80^{\circ}\).

Step3: Calculate the value of \(x\)

Using the exterior angle theorem, \(x=30^{\circ}+ 80^{\circ}\)
\(x = 110^{\circ}\)

Answer:

\(110^{\circ}\) (corresponding to the option with \(110^{\circ}\))