What is the sum of the interior angles of a 24 sided regular polygon? Show your work.

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

Answer:

3,960 degrees

Step-by-step explanation:

The sum of interior angles of a polygon can be found using:

S= (n - 2)*180

where s is the sum, and n is the number of sides.

This is a 24 sided polygon. Therefore, substitute 24 in for n (number of sides).

S = (24 - 2)*180

Subtract inside the parentheses first

S= (22)*180

Multiply 22 and 180

S=3960

The sum of the interior angles of a 24 sided polygon is 3,960 degrees

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