Question

Number of sides in a regular polygon is 24 ,find value of its each interior angle

Answer 1

the sum of all interior angle can be found by (n-2) * 180 where n is the number of sides ,in the case 24 . so all the interior angles add to 3960 degrees

Answer 2

The value of its each interior angle is $165 ^{\circ}$

Step-by-step explanation:

Number of sides in a regular polygon = n= 24

Formula of interior angle of polygon =$\frac{(n-2) \times 180}{n}$

Substitute the value in the formula :

Each interior angle=$\frac{(24-2) \times 180}{24}$

Each interior angle=165

Hence The value of its each interior angle is $165 ^{\circ}$

#Learn more:

Find the number of sides of a regular polygon if each of its interior angle is 168°

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