Question

1. choose the best answer. the sum of the measures of angles ∠dbe and ∠ebc is 180°, so they are also called what kind of angles? diagram vertical angles

Explanation:

1. Recall the definition of supplementary angles: Two angles are supplementary if the sum of their measures is \(180^\circ\).
2. The problem states that the sum of \(\angle DBE\) and \(\angle EBC\) is \(180^\circ\), so they fit the definition of supplementary angles.
3. Vertical angles are formed by two intersecting lines and are equal in measure, which is not the case here (since their sum is \(180^\circ\), not that they are equal). So the correct term for angles with a sum of \(180^\circ\) is supplementary angles (note: since the option shown is "vertical angles" which is incorrect, but assuming the other option (not fully shown) is "supplementary angles", the correct answer would be the one labeled as supplementary angles. However, based on the given option and the problem, if we assume the options are vertical angles and supplementary angles, the correct one is supplementary angles. But since the user's image shows "vertical angles" as an option, maybe there was a typo, but following the definition, angles summing to \(180^\circ\) are supplementary. But if we have to choose from the given (maybe the other option is missing, but based on the problem, the answer is supplementary angles. Wait, maybe the original problem's options include "supplementary angles" and "vertical angles". So the correct answer is supplementary angles (the option not shown as vertical angles). But since the user's image has "vertical angles" as an option, perhaps the correct option is the one that is supplementary angles. Let's confirm: vertical angles are equal, supplementary angles sum to \(180^\circ\). So the answer is supplementary angles (the option that is not vertical angles, but since the user's image shows vertical angles as an option, maybe the other option is supplementary. So the correct answer is the one labeled as supplementary angles (if present) or the option that is not vertical angles. But based on the problem, the answer is supplementary angles.

Answer:

(Assuming the options are: A. vertical angles, B. supplementary angles)
B. supplementary angles