Question

Show that the sum of the interior angles of a 13 sides polygons is 1980d degrees

Answer 1

Step-by-step explanation:

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

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