The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have?

limunom623

limunom623

Answered question

2022-11-07

The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have?

Answer & Explanation

Berattirna

Berattirna

Beginner2022-11-08Added 19 answers

Step 1
With regular polygons it is best to remember that:
1) All the EXTERIOR angles add up to 360 0
2) 1 exterior angle + 1 interior angle = 180 0
Work with the exterior angles. In this case:
1 int. < = 180 - 160 = 20 0
No. of sides = 360 20 = 18

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