Question

What is the internal angle between adjacent sides of a regular polygon with n sides?
0 360
n
O 60n?
(n-1)
O
90(n-1)
n
180(n-2)
n
O
360
n?
(n-1)​

Answer 1

Step-by-step explanation:

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