Question

5. (a) Is it possible to have a regular polygon with measure of each exterior angle as 26°?
(b) Can it be an interior angle of a regular polygon? Why? ​

Answer 1

Answer:

The sum of the exterior angles of a regular polygon is 360 degrees. So if the exterior angles are 32 degrees then the number of sides of the regular polygon will be 360/32 = 11.25. Since a fraction of a side is not possible, there cannot be a regular polygon whose exterior angle is 32 deg. The figure will have to be an irregular polygon with 10 angles of 32 deg and the one last angle as 40 degrees.

Step-by-step explanation: