Math, asked by syed87269, 7 months ago

find the sum of interior angles of a regular polygon with 24 sides plz with solution​

Answers

Answered by neelamkumawatofficer
0

Answer:

360 degree I hope. so

Step-by-step explanation:

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Answered by naquiyakhudelwala843
1

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon is

(n−2)⋅180 , where n is the number of sides.

For a 24 -gon, n=24 .

(24−2)⋅180=3960

Another method is to use exterior angles. An n-gon has n exterior angles.

An exterior angles measures 360/n

.

An interior angle equals 180 minus the exterior angle.

A 24 -gon has 24 exterior angles.

Each exterior angle measures

360÷24=15

.

The interior angle measures 180−15=165

.

The sum of the 24 interior angles is then

24*165=3960

.

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