Question

The figure shows two congruent regular polygons.



What is the value of m?

Answer 1

What's the measure of the interior angle of an octagon?

Answer 2

45

Answer 3

That's the exterior angle measure, but that's useful too. Cut the angle shown on the picture in half. Isn't that two congruent, exterior angles of the octagon? So, what's the measure of two exterior angles of an octagon added together?

Answer 4

80

Answer 5

90*

Answer 6

Yes.