Mr. Thomas wrote these true statements. If a figure is a triangle, the sum of the figure's interior angles is 180 degrees Figure A B C is a triangle. Which conclusion can be drawn?
Answer
A
Using the law of detachment, if the sum of a figure’s interior angles is 180 degrees , then the figure is a triangle.
B
Using inductive reasoning, if the sum of a figure’s interior angles is 180 degrees , then the figure is a triangle.
C
Using inductive reasoning, the sum of the interior angles of A B C is 180 degrees .
D
Using the law of detachment, the sum of the interior angles of A B C is 180 degrees .
Explanation
The first statement says that if a figure is a triangle, then its interior angles sum to 180 degrees. Since ABC is given as a triangle, the law of detachment lets us conclude that ABC’s interior angles sum to 180 degrees. Choice D states this conclusion. Choice A reverses the conditional and does not follow from the statements.
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