The angle measured below is 290 degrees. Is it possible to get polygon with an interior angle of 290 degrees? Explain your answer

1 answer

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

In a polygon, the sum of all interior angles is always equal to (n-2) * 180 degrees, where n is the number of sides of the polygon.

For example, in a triangle (3 sides), the sum of interior angles is (3-2)*180 = 180 degrees.

So, in order to have a polygon with an interior angle of 290 degrees, it would need to have 290 degrees as one of the interior angles and all the other interior angles would need to sum up to 90 degrees (since the sum of all interior angles cannot exceed (n-2)*180 degrees).

This is not possible because it violates the properties of polygons and the sum of interior angles. Therefore, it is not possible to have a polygon with an interior angle of 290 degrees.