Tick (✓) the correct answer:
Question:

Tick (✓) the correct answer:

The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have?

(a) 16

(b) 14

(c) 12

(d) 10

Solution:

(d) 10

Each exterior angle of a regular polygon $=\frac{360}{n}$

Each interior angle of a regular polygon $=180-\frac{360}{n}$

$180-\frac{360}{n}-108=\frac{360}{n}$

$\frac{720}{n}=180-108=72$

$n=\frac{720}{72}=10$

Administrator

Leave a comment

Please enter comment.
Please enter your name.