Question

regular hexagon abcdef is divided into six equilateral triangles, as shown. explain how to determine the sum of the interior angles of the hexagon using these triangles. use the drop - down menus to complete the statements. click the arrows to choose an answer from each menu. the sum of the interior angles of each triangle is choose_ degrees, so the measure of each interior angle of the equilateral triangles in the figure is choose_ degrees. the interior angle at each vertex of the hexagon is composed of choose_ interior angles of an equilateral triangle. so, the sum of the interior angles of the regular hexagon is

Explanation:

Step1: Recall triangle angle - sum

The sum of interior angles of any triangle is 180 degrees.

Step2: Find angle of equilateral triangle

For an equilateral triangle, since all angles are equal, each angle is $\frac{180}{3}=60$ degrees.

Step3: Anal[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]

Answer:

The sum of the interior angles of each triangle is 180 degrees, so the measure of each interior angle of the equilateral triangles in the figure is 60 degrees. The interior angle at each vertex of the hexagon is composed of 2 interior angles of an equilateral triangle. So, the sum of the interior angles of the regular hexagon is 720 degrees.