-
The interior angle of a regular polygon exceeds its exterior angle by 108°. The number of the sides of the polygon is
-
- 12
- 16
- 14
- 10
- 12
Correct Option: D
Let the number of sides of regular polygon be n.
According to the question,
The interior angle of a regular polygon exceeds its exterior angle by 108°
| - | = 108 | |||
| n | n |
| ⇒ | - | = 6 | ||
| n | n |
⇒ 10n – 20 – 20 = 6n
⇒ 10n – 6n = 40
⇒ 4n = 40
⇒ n = 40 ÷ 4 = 10
