How many sides does a polygon have if the sum if the measures is 436?

Answer 1

To find the number of sides (n) in a polygon based on the sum of the interior angles, you can use the formula ( \text{Sum of interior angles} = (n-2) \times 180 ). Setting this equal to 436 gives the equation ( (n-2) \times 180 = 436 ). Solving for n, we find ( n - 2 = \frac{436}{180} \approx 2.42 ), which gives ( n \approx 4.42 ). Since the number of sides must be a whole number, the polygon does not exist with an interior angle sum of 436.