Question

given the following statements, what conclusion can be drawn using the law of detachment?
if two angles are vertical, then they are congruent. angles abc and dbe are vertical.
○ angles abc and dbe are congruent.
○ no conclusion can be reached based on the law of detachment.
○ angles abc and dbe are not congruent.
○ angle abc is a counterexample.

Explanation:

The law of detachment states that if we have a conditional statement "If P, then Q" and we know P is true, we can conclude Q is true. Here, P is "two angles are vertical" and Q is "they are congruent". Since angles ABC and DBE are vertical (P is true), we conclude Q is true.

Answer:

Angles ABC and DBE are congruent.