

InterviewSolution
Saved Bookmarks
1. |
(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?(b) Can it be an interior angle of a regular polygon? Why? |
Answer» The sum of all exterior angles of all polygons is 360º. Also, in a regular polygon, each exterior angle is of the same measure. Hence, if 360º is a perfect multiple of the given exterior angle, then the given polygon will be possible. (a) Exterior angle = 22° 360º is not a perfect multiple of 22º. Hence, such polygon is not possible. (b) Interior angle = 22° Exterior angle = 180° − 22° = 158° Such a polygon is not possible as 360° is not a perfect multiple of 158°. |
|