Question

what is the measure of an exterior angle of a triangle if the two non - adjacent interior angles are 50 degrees and 70 degrees?

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: Calculate the exterior angle

Let the two non - adjacent interior angles be \(a = 50^{\circ}\) and \(b=70^{\circ}\). Then the exterior angle \(E=a + b\).
Substitute the values: \(E=50^{\circ}+70^{\circ}\).
\(E = 120^{\circ}\)

Answer:

\(120^{\circ}\) (the orange - colored option)