Question

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.

Answer 1

A

Explanation:

On edge

Answer 2

Law of Detachment
If 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.