If the sum of the interior angles of a polygon is 3780o, find the number of sides.

Mathematics

1 answer:

Sphinxa [80]3 years ago

7 0

Answer:

23 sides

Step-by-step explanation:

The sum S of the interior angles of an n sided polygon is given as

S = (n - 2)180°

Where S is the sum of the interior angles and n is the number of sides.

Given that the sum of the interior angles is 3780° then

3780° = (n - 2)180

Divide both sides of the equation by 180

21 = n - 2

n = 21 + 2

= 23

The polygon has 23 sides

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kifflom [539]

Answer:

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Step-by-step explanation:

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