Question

if the sum of the intention angles of a polygon is 14.40° how many sides has it​

Answer 1

Step-by-step explanation:

Sum of interior angles

S

=

(

n

−

2

)

×

180

∘

,

where n is the number of sides of the polygon.

Given

S

=

1980

∘

⇒

1980

=

(

n

−

2

)

×

180

⇒

n

−

2

=

1980

180

=

11

⇒

n

=

11

+

2

=

13

Hence, the polygon has

13

sides.