The polygon you are describing is a quadrilateral, specifically a square or a rectangle. In geometry, the sum of the interior angles of a polygon can be calculated using the formula:
Angle Sum = (n – 2) × 180
where n is the number of sides. For a polygon with an angle sum of 360 degrees, we can set up the equation:
(n – 2) × 180 = 360
Solving for n gives:
n – 2 = 360 / 180
n – 2 = 2
n = 4
So, this polygon has 4 sides. Since each angle is 90 degrees, it indicates that the polygon is not just any quadrilateral but specifically a square or a rectangle where all angles are right angles. Hence, the answer is:
A quadrilateral (square or rectangle).