Question

If the sum of the interior angles of a polygon is 3780º, find the number of sides.

Answer 1

Given:  the sum of the interior angles of a polygon is 3780º

To find:  the number of sides.

Solution:

• Now we know that for n sides, the formula is:

                  (n - 2) x 180° = 3780º

                  n - 2 = 3780 / 180

                  n - 2 = 21

                  n = 21 + 2

                  n = 23

• So the sides are 23 to the given polygon.

Answer:

                  The number of sides of which the sum of the interior angles of a polygon is 3780º are 23.

Answer 2

Answer:

(n - 2) x 180° = 3780º

       n - 2 = 3780 / 180

  n - 2 = 21

n = 21 + 2

 n = 23

no.of sides = 23