Based on the angle measures given, the most precise name of the shape shown is a rhombus.
Based on the angle measures given, the most precise name of the shape shown is a rhombus.
To determine this, we can use the properties of shapes. A rhombus is a parallelogram in which all four sides are equal in length. Additionally, opposite angles of a rhombus are congruent, meaning they have the same measure.
In the given image, we are told that the shape is a parallelogram and that a diagonal makes angles of 72 degrees on each side of the diagonal. Since opposite angles of a rhombus are congruent, we can conclude that the angles opposite the 72-degree angles are also 72 degrees. This means that all four angles of the shape are 72 degrees, which satisfies the condition for a rhombus.
Therefore, based on the given angle measures, the shape shown can be identified as a rhombus.