Question

23. The sum of the exterior angles and interior angles of a regular polygon is 2340. Find the sum of interior angles,
number of sides, measure of an interior angle and measure of exterior angle.​

Answer 1

Answer:

We know that sum of interior angles of a

n

sided polygon is given by

(

n

−

2

)

⋅

180

degree.

Where

n

is the number of sides.

Here sum of interior angels is

2340

degrees.

⇒

(

n

−

2

)

⋅

180

=

2340

⇒

n

−

2

=

13

⇒

n

=

15

⇒

number of sides

=

15

Therefore, the polygon is 15 sided

Answer 2

Answer:

The sum of the exterior angles and interior angles of a regular polygon is 2340.

= 15