Question

determine if the conclusion follows logically from the premises. premise: if a figure is a triangle, then the angles add to 180 degrees. premise: if a figure has three sides, then it is a triangle. conclusion: if a figure has three sides, then the angles add to 180 degrees valid argument invalid argument

Explanation:

Step1: Define statements

Let \(p\): A figure has three sides. Let \(q\): A figure is a triangle. Let \(r\): The angles of the figure add to 180 degrees.

Step2: Rewrite premises and conclusion

Premise 1: \(q
ightarrow r\). Premise 2: \(p
ightarrow q\). Conclusion: \(p
ightarrow r\).

Step3: Apply law of syllogism

By the law of syllogism, if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\).

Answer:

Valid argument