B. Find the number of sides of a polygon given the sum of the measures of its interior angles
____1.2520°
____2.1440°​​


Sagot :

Answer:                                                                                                          When what is 2520? The way you’ve written it says that the polygon is 2520 but polygons can’t be numbers.

If you meant, “What are the measures of the interior angles of a polygon if the sum of the measures of its interior angles is 2520?” The answer would be, “You can’t tell.” There’s a formula about the sum for the sum of the measures of the interior angles of a polygon but it only applies if the polygon is convex.

If you meant, “What are the measures of the interior angles of a convex polygon if the sum of the measures of its interior angles is If you meant, “What are the measures of the interior angles of a regular convex polygon if the sum of the measures of its interior angles is 2520?” Then we can answer the question. Using the formula from the previous paragraph, we can calculate the number of sides:

180(n - 2) = 2520

n - 2 = 1

n = 16

The number of sides is also the number of angles and, in a regular polygon, all the angles are the same. That means each angle must be 2520 / 16 = 157.5 degrees.

Step-by-step explanation: