Question

If each interior angles of a regular polygon is 108 ° of sides of the polygon​

Answer 1

Solution:-

If n is the number of sides, each interior angle I can be calculated by the following formula:

I =$\bf\color{red}\dfrac {180(n - 2)}{n}$

Substitute:

108 = 180$\bf\color{red}\dfrac{(n - 2)}{n}$

Multiply both sides by n:

108n = 180(n - 2)

Distribute:

108n = 180n - 360

Subtract 180n from both sides:

108n - 180n = -360

Combine like terms:

-72n = -360

Divide both sides by -72:

ㅤㅤㅤㅤㅤ$\bf\color{blue}{n = 5}$

Answer 2

Answer:

Required number of sides is 5

Step-by-step explanation:

Please refer the above attachment, Hope it helps Kuwali! :)