How many sides would there be if the interior angle is 7200?

Answer 1

To find the number of sides of a polygon based on its interior angle, you can use the formula for the interior angle of a regular polygon: ( \text{Interior angle} = \frac{(n-2) \times 180}{n} ), where ( n ) is the number of sides. Setting the interior angle to 7200 degrees, the equation becomes ( 7200 = \frac{(n-2) \times 180}{n} ). Solving for ( n ) gives you an impractical result, indicating that an angle of 7200 degrees cannot correspond to a polygon with a finite number of sides. In fact, an interior angle greater than 360 degrees suggests a highly complex or non-standard shape.