Mr. Thomas wrote these true statements. If a figure is a triangle, the sum of the figure's interior angles is 180. Figure ABC is a triangle. Which conclusion can be drawn? Using the law of detachment, the sum of the interior angles of ABC is 180. Using the law of detachment, if the sum of a figure’s interior angles is 180, then the figure is a triangle. Using inductive reasoning, the sum of the interior angles of ABC is 180. Using inductive reasoning, if the sum of a figure’s interior angles is 180, then the figure is a triangle.
Question
Answer:
Law of DetachmentIf p then q. Given p is true. Conclude q is true.
In this problem, "if p then q" is "If a figure is a triangle, the sum of the figure's interior angles is 180."
Then you are told p is true. In this problem that is "Figure ABC is a triangle."
You can now conclude that q is true.
In this problem, q is "the sum of the interior angles of ABC is 180"
Answer: Option A.
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