Polygon refers to two dimensional shapes that is created by straight line segments connected to form polygonal circuits. When rotated they have the same lengths and angle measures because it is equilateral and equiangular and rotated at 360 degrees.
This means that it has equal side lengths and equal measure angles.
The number of lines of reflection symmetry is the same as the side of polygon because it has the same length.
For example, Pentagon is a five sided polygon, when rotated, it has five lines order of symmetry. The angle of rotation is 360 degrees, therefore 369 degree is divided by the five lines of symmetry which is 72 degrees.
The sum of the exterior angles of a 13-sided regular or irregular polygon is 360 deg. The sum of the interior angles of a 13-sided regular or irregular polygon = (2n-4)*90 = 22*90 = 1980 deg. Each interior angle of a 13-sided regular polygon only = 152.3076923
Ok, so, I have not read the lesson of course but this is an interesting middle school question. Maybe find a common pattern of angles and mention the most observed degrees of the angles (90 degrees, 60 degrees angels, ect.) I hope I can help in any way!