Question

How many sides does a regular polygon have if each interior angle is 160 degree

Answer 1

Answer:

18 sides

If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

Step-by-step explanation:

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Answer 2

Answer:

18 sides

Step-by-step explanation:

with regular polygons it is best to remember that:

( 1 )  all the EXTERIOR angles add up to  360 degrees

( 2 ) 1  exterior angle + 1  interior angle  = 180  degrees

Work with the exterior angles. In this case:

1  int. <  = 180 − 160 = 20  degree

No. of sides  = 360 20 = 18