Question

mr. thomas wrote these true statements. if a figure is a triangle, the sum of the figures 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 inductive reasoning, if the sum of a figures interior angles is 180°, then the figure is a triangle. using the law of detachment, if the sum of a figures interior angles is 180°, then the figure is a triangle. using inductive reasoning, the sum of the interior angles of abc is 180°.

Explanation:

The law of detachment states that if a conditional statement "if p, then q" is true and p is true, then q is true. Here, the conditional statement is "if a figure is a triangle, then the sum of the figure's interior angles is 180°" and it's given that figure ABC is a triangle (p is true). So, by the law of detachment, the sum of the interior angles of ABC is 180°. Inductive reasoning is about making generalizations from specific cases, which is not applicable here as we are using a known rule to draw a conclusion.

Answer:

Using the law of detachment, the sum of the interior angles of ABC is 180°.