Question

find each interior angle of a regular polygon of 24 sides​

Answer 1

Step-by-step explanation:

To find the measure of an interior angle of a regular polygon, take the sum of all interior angles and divide by the number of angles. The sum of all interior angles can be found by (n - 2)*180 where n is the number of sides, in this case 24. So all the interior angles add to 3960 degrees.

Answer 2

Answer:

165 degrees

Step-by-step explanation:

Sum of interior angles of a polygon = 180(n-2)

(Where n is the number of sides)

Here n = 24

∴ Sum of interior angles = 180(24-2)  = 180*22

∴ Sum of interior angles = 3960

Now, the value of each interior angles is:

Sum of interior angles/n

= 3960/24

= 165

∴ Each interior angle of a regular polygon of 24 sides​ is 165 degrees.

(Short step formula:    180(n-2)/n = 165)

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