how many lines bisect two angles of the octagon?

Question

accidentalaichan · Answer

If you draw a line from the centre of an octagon to each angle (8 lines in total), then each pair of consecutive lines makes an angle of 360/8 = 45 degrees. Each of the lines bisects one of the interior angles of the octagon (that is, divides it in half). This means that the triangles are all identical, and are the angles (or the triangle) adjacent to the side of the octagon are equal. Since the sum of the angles of a triangle is 180 degrees, each of them measures (180-45)/2 degrees. Since each interior angle of the octagon is comprised of two angles whose measure we just calculated above, each of them measures 180-45 = 135 degrees.

anonymous · Answer

so how about for a regular heptagon

anonymous · Answer

@AccidentalAiChan