Question

the size of an interior angle of a regulay polygon is 3x degrees while its exterior angle is (2x-20 degress) find the number of the sides of the polygon

Answer 1

Answer:

The interior and exterior angles total 180

3

x

+

(

x+

20

)

=

180

4

x

+

20

=

180

4

x

=

160

x

=

40

So the interior angle is 120 and the exterior is 60

360 divided by the exterior angle = number of sides

360

60

=6

6 sides,  

6

×

120

=720 in total

720

180

=4

4 triangles