Question

complete the statement.
the measure of the exterior angle equals
the? of the measures of the
non adjacent angles.
options: difference, product, quotient, sum
(accompanied by a triangle diagram with angles 50°, 70°, 60° and an exterior angle of 120°, labeled with non - adjacent interior angles and exterior angle)

Explanation:

Step1: Recall the Exterior Angle Theorem

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.

Step2: Verify with the given triangle

In the given triangle, the non - adjacent interior angles are \(50^{\circ}\) and \(70^{\circ}\). Their sum is \(50 + 70=120^{\circ}\), which is equal to the measure of the exterior angle (\(120^{\circ}\)). So we need to choose the option "sum".

Answer:

sum