The angle measured below is 290°.is it possible to get a polygon with an interior angle of 290°. Explain your answer with numbers

1 answer

No, it is not possible to have a polygon with an interior angle of 290°.

The sum of the interior angles of a polygon with n sides can be found using the formula (n-2) * 180°. In order for the interior angle of a polygon to be 290°, the polygon would have to have less than 3 sides, as any polygon with 3 or more sides would have a sum of interior angles that is less than 290°.

For example, if you have a triangle (3 sides), the sum of its interior angles would be (3-2) * 180° = 180°, which means each interior angle would be 60°.

Similarly, for a quadrilateral (4 sides), the sum of its interior angles would be (4-2) * 180° = 360°, so it is not possible to have a polygon with an interior angle of 290°.