Question

triangle angle theorems
which angles measure is equal to the sum of the measures of \\( \angle bac \\) and \\( \angle bca \\)?
\\( \angle dac \\)
\\( \angle cbe \\)
\\( \angle cba \\)
\\( \angle bcf \\)

Explanation:

Step1: Recall the exterior angle theorem

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

Step2: Identify the exterior angle

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

Answer:

\(\angle CBE\)