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3 years ago

How many sides does the polygon measures 160 degrees how many sides does the polygon have???

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

8 0

Answer:

18 sides

Step-by-step explanation:

I'm not sure what the question is, but this is what I think the question is.

"An interior angle of a regular polygon measures 160 degrees. How many sides does the polygon have?"

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180

If the polygon is a regular polygon, then the measure of each interior angle is

(n - 2)180/n

Here, we are told an interior angle measures 160 deg.

(n - 2)180/n = 160

(n - 2)180 = 160n

(n - 2)18 = 16n

(n - 2)9 = 8n

9n - 18 = 8n

n = 18

Answer: 18 sides

weeeeeb [17]3 years ago

3 0

18 sides. The person above explained it

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