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

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

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions