Question

image long description. what could be proved using the diagram? (1 point). two lines are parallel if they have the same slope. the measure of an exterior angle equals the sum of the two remote interior angles. the angle - angle - sum theorem. the pythagorean theorem.

Explanation:

Step1: Analyze the diagram

The diagram shows a triangle $\triangle ABC$ with an exterior - angle at $B$. Let $\angle ABE$ be the exterior angle. The two non - adjacent interior angles are $\angle BAC$ and $\angle ACB$.

Step2: Recall angle - sum properties

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. In $\triangle ABC$, $\angle ABE=\angle BAC + \angle ACB$.

Answer:

The measure of an exterior angle equals the sum of the two remote interior angles.