Question

suppose p → q and q → r are true, where p is \a polygon has three sides\, q is \a polygon is a triangle\, and r is \the interior angles of a polygon sum to 180\. complete the statement. if p is true, then r is choose...

Explanation:

Step1: Recall the law of syllogism

The law of syllogism states that if \(p
ightarrow q\) and \(q
ightarrow r\) are true, then \(p
ightarrow r\) is true.

Step2: Apply the law of syllogism

We are given that \(p
ightarrow q\) (if a polygon has three - sides, then it is a triangle) and \(q
ightarrow r\) (if a polygon is a triangle, then the interior angles of the polygon sum to \(180^{\circ}\)). Since \(p\) is true, by the law of syllogism \(r\) must be true.

Answer:

true