Q7 of 59 Page 195

let’s find whether the following measurement are possible or not for exterior angle of a regular polygon- (write yes/no):

6°


A regular polygon would be possible only if on dividing the sum of all exterior angles by the measure of each exterior angle gives a whole number.

Here measure of each exterior angle = 6°.


Sum of all exterior angles for regular polygon = 360°


∴ Number of sides for given polygon = 360 / 6


= 60


Since the number of sides of given polygon is a whole number, this exterior angle is a valid exterior angle.


More from this chapter

All 59 →
6

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

Decagon


 6 F

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

Polygon with 18 sides.


 7

let’s find whether the following measurement are possible or not for exterior angle of a regular polygon- (write yes/no):

10°


 7

let’s find whether the following measurement are possible or not for exterior angle of a regular polygon- (write yes/no):

13°