Class8 CH.4 exicearse no.3.2 Q.no. 5

Q5 :
(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°