Question

which one of the following is the outer angle of a regular polygon?
(a)7°
(b)9°
(c)11°
(d)14°​

Answer 1

Answer:

Exterior angle of an n-sided polygon = (360n)o

(i) For a pentagon: n=5 ∴ (360n)=(3605)=72o

(ii) For a hexagon: n=6 ∴ (360n)=(3606)=60o

(iii) For a heptagon: n=7 ∴ (360n)=(3607)=51.43o

(iv) For a decagon: n=10 ∴ (360n)=(36010)=36o

(v) For a polygon of 15 sides: n=15 ∴ (360n)=(36015)=24o

Answer 2

Answer:

outer angle =360÷side of polygone