Question

Can the sum of any polygon be 4143?why?

Answer 1

Question :- Can sum of interior angles of any regular Polygon be 4143° ? why ? .

Solution :-

As we know that, sum all interior angles of a regular polygon with n - sides is :- (n - 2) * 180° .

Putting value we get,

→ (n - 2) * 180° = 4143°

→ 180n - 360° = 4143°

→ 180n = 4143° + 360°

→ 180n = 4503°

Dividing both sides by 180° now,

→ n ≈ 25.01

As , we know that, Number of sides of a regular Polygon can not be a decimal number .

Therefore, we can conclude that, Sum of sum of interior angles of any regular Polygon can't be 4143° .