Question

Due to which statement is the contrapositive of "If a regular polygon is a regular hexagon, each angle measures 120°"?

If each angle of a regular polygon does not measure 120°, the polygon is not a regular hexagon.

Answer 1

The contrapositive of the statement is: If each angle of a regular polygon does not measure 120°, the polygon is not a regular hexagon.

Step-by-step explanation:

The contrapositive of the statement "If a regular polygon is a regular hexagon, each angle measures 120°" is:

If each angle of a regular polygon does not measure 120°, the polygon is not a regular hexagon.

To understand the contrapositive, we can break down the original statement. A regular hexagon is a polygon with six equal angles, and each angle measures 120°. The contrapositive is formed by negating both the hypothesis and the conclusion. So, if we negate the statement, it becomes: If any angle of a regular polygon does not measure 120°, the polygon is not a regular hexagon.