Question

How many sides does a polygon with an interior angle measure of 108 degrees have? Show your work. How many sides does a polygon with an interior angle measure of 108 degrees have? Show your work. @Mathematics

Answer 1

id says at least 5

but; 180 - intAng = centralAng

360/centralAng = number of sides

Answer 2

in know a square has 90
and a hex has 120

and this is between them so id guess at 5

Answer 3

can u show the steps please i do not understand?

Answer 4

180 - 108 = 72

360/72 = 5 sides

Answer 5

the sum of all the turns has to be 360. the amount you turn is 180-interior angle. For a triangle, 60 degrees, so the turn is 120. For a pentagon, the interior angle is 72, and the exterior angle is 180-72= 108. Every time you turn, you turn 108 degrees and after 5 turns you get all the way around, 360.