Question

find the measure of each exterior angle of a regular polygon:
(i) 10 sides (ii) 12 sides (iii) 15 sides ​

Answer 1

Answer :

a) 10 sides

we know that

exterior angle = 360° /n

where n is the no. of sides of regular polygon

given, n= 10

exterior angle =360° / 10

= 36°

b) 12 sides

we know that

exterior angle = 360° /n

where n is the no. of side regular polygon

given , n= 12

exterior angle = 360°/12

= 30°

c) 15 sides

we know that

exterior angle=360°/n

where n is the no. of sides of regular polygon

given , n= 15

exterior angle = 360°/15

= 24°