Q7 D 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):

18°


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 = 18°.


Sum of all exterior angles for regular polygon = 360°


∴ Number of sides for given polygon = 360 / 18


= 20


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 →
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°


 7 E

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

35°


 8 A

Let’s find whether the following measurement of each interior angle is possible for a regular polygon-

80°