Question

which statement is a valid conclusion based on the argument? if a polygon is a regular pentagon, then the polygon has exactly five congruent angles. the polygon is a regular pentagon. therefore, the polygon has exactly five congruent angles. therefore, the polygon is a rectangle. therefore, the polygon is a regular quadrilateral.

Explanation:

A regular polygon has all sides congruent and all angles congruent. A regular pentagon has exactly five congruent angles as well as five congruent sides. The statement "Therefore, the polygon has exactly five congruent angles" is a valid conclusion based on the premise that the polygon is a regular pentagon. The other statements about a polygon being a regular quadrilateral (a square), a polygon being a rectangle (which is not regular in general), and just having congruent sides are not valid conclusions from the given argument about a regular pentagon.

Answer:

Therefore, the polygon has exactly five congruent angles.