Question

Can you draw a regular polygon with each of its angles equal to 47°?

Answer 1

Measure of each angle of the regular polygon = 47°

Let the number of sides of the given regular polygon be n.

We know that the sum of the angles of a polygon with n sides = (n −2) × 180°

⇒ 47° × n = (n − 2) × 180°

As n is not a natural number, therefore, such a regular polygon does not exist.

Hence, we cannot make a regular polygon with each angle equal to 47°.