Question

1. choose the best answer. the sum of the measures of angles ∠abd and ∠dbe is 90°, so they are also called what kind of angles? vertical angles

Explanation:

First, recall the definitions of angle types. Vertical angles are opposite angles formed by intersecting lines, and their measures are equal. Complementary angles are two angles whose sum is \(90^\circ\). The problem states that the sum of \(\angle ABD\) and \(\angle DBE\) is \(90^\circ\), so they fit the definition of complementary angles. The option "vertical angles" is incorrect as vertical angles don't have a sum of \(90^\circ\) by definition (they are equal). So the correct type of angles here, based on the sum being \(90^\circ\), is complementary angles (though the option shown in the image's visible part is "vertical angles" which is wrong, but if we assume the other option, say "complementary angles" was there, but since the user's image shows "vertical angles" as an option, maybe there was a typo, but based on the definition, two angles summing to \(90^\circ\) are complementary. Wait, maybe the original question's options had "complementary angles" as the correct one. Let's recheck: the sum of two angles is \(90^\circ\) → complementary angles. Vertical angles are equal and formed by intersecting lines. So the correct answer should be complementary angles, but if the options are as shown (only "vertical angles" visible, maybe a mistake, but based on the definition, the answer is complementary angles. But since the user's image shows "vertical angles" as an option, maybe there's a misprint, but the correct concept is complementary angles. Wait, maybe the user's question has options, and the correct one is complementary angles. Let's confirm: Complementary angles: sum to \(90^\circ\). Supplementary: sum to \(180^\circ\). Vertical: equal, opposite. So here, sum is \(90^\circ\), so complementary.

Answer:

(Assuming the correct option is "complementary angles" if it was an option, but since the visible option is "vertical angles" which is incorrect, but based on the definition, the answer is complementary angles. However, if the options were, say, A. vertical angles, B. complementary angles, then the answer is B. complementary angles.)

Wait, maybe the user's image had a typo, but based on the problem statement: sum of two angles is \(90^\circ\), so they are complementary angles. So the correct answer is complementary angles. If the options include that, then that's the answer.