College

By which angle measures can the regular pentagon be rotated so it maps onto itself?

Select each correct answer.

A. 72°
B. 144°
C. 216°
D. 288°
E. 360°

Answer :

The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

What is a regular polygon?

A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.

It is given that:

The pentagon has five sides.

As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.

The angles are 72°.144°,216°, and 288°.

Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

Learn more about the regular polygon here:

brainly.com/question/11810316

#SPJ1