Question

which angles measure is equal to the sum of the measures of ∠bac and ∠bca?
∠cba
∠cbe
∠dac
∠bcf

Explanation:

Step1: Recall the exterior - angle theorem

In a triangle, the measure of an exterior angle is equal to the sum of the measures of the two non - adjacent interior angles.

Step2: Identify the exterior angle and non - adjacent interior angles

For \(\triangle ABC\), \(\angle CBE\) is an exterior angle. The non - adjacent interior angles to \(\angle CBE\) are \(\angle BAC\) and \(\angle BCA\).

Answer:

\(\angle CBE\)