Question

Find the interior angles of a polygon with 20 sides. Also Fing the exterior angle , if the polygon is a regular is a regular polygon

Answer 1

Answer:

Sum of Interior angles = 3240 degrees and each interior angle is  162 degrees.

Sum of exterior angles = 360 degrees and each exterior angle of a regular polygon with 20 sides is 18 degrees

Step-by-step explanation:

Sum of Interior angles=  [(n-2) X 180]/ 20where n is no. of sides

                           [(20-2) X 180]

                           [(18) X 180]

                            [3240]

Each interior angle is 3240/20

                                   = 162 degrees

Sum of all exterior angles of any polygon is 360 degrees so

Each exterior angle of a regular polygon with 20 sides is= 360/20

                                                                                              = 18 degrees