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.

A) Angles ABC and DBE are congruent.

Step-by-step explanation:

Let's see Law of Detachment

There will be two statements. If the two statements are true, then we can conclude another statement that is true.

i) If p , then q

ii) p

Conclusion : q

For example:

i) If it is rains, then I will get an umbrella.

ii) If it is rains,

Conclusion: I will get an umbrella.

We are given the following statement.

i) If two angles are vertical, then they are congruent.

ii) Angles ABC and DBE are vertical.

Conclusion: Angles ABC and DBE are congruent.

Therefore, answer is A) Angles ABC and DBE are congruent.

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step-by-step explanation:

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