Based on the angle measures given below. What is the most precise name of the shape shown?

72°
72°
72°
72°

Using the properties of shapes, how do you know

Based on the angle measures given, the most precise name of the shape shown is a regular pentagon.

A regular pentagon is a polygon with five sides of equal length and five angles of equal measure. Each angle is 72 degrees, which satisfies the criteria for a regular pentagon.