Question

can it is possible that interior angle of a regular polygon is 15 degree
answer with solution ​

Answer 1

Answer:

No because in a regular polygon all angles are equal and have a sum of 360

But, 15×5=75=/=360

Step-by-step explanation:

Answer 2

Answer:

No

Step-by-step explanation:

Regular polygons have exact values of angles (because all angles are equal).

We can find each angle by using this formula:

Let n be the number of sides.

$\frac{(n-2)(180)}{n}$

So,

3-sided regular polygon=60 degrees

4-sided regular polygon=90 degrees

5-sided regular polygon=108 degrees

6-sided regular polygon=120 degrees

Notice that the value will only rise, and there is no polygon that has 2 sides or 1 side. So, the smallest value of angle is 60 degrees. There won't be a regular polygon that has a 15 degree angle.