rbbustos11 rbbustos11
  • 01-05-2017
  • Mathematics
contestada

The sum of the measures of the interior angles of a regular polygon is 900 degrees. How many sides does the polygon have?

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irspow
irspow irspow
  • 01-05-2017
s(n)=180(n-2)

180n-360=900

180n=1260

n=7

So this is a heptagon with 7 sides...
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MrRoyal
MrRoyal MrRoyal
  • 17-03-2022

The polygon has 7 sides

The sum of interior angles of a polygon is calculated as:

Sum =180 *  (n-2)

In this question, the sum of the measures of the interior angles of a regular polygon is 900

So, we have:

180 *(n - 2) = 900

Divide both sides by 180

n - 2 = 5

Add 2 to both sides

n = 7

Hence, the polygon has 7 sides

Read more about interior angles of a regular polygon at:

https://brainly.com/question/26130142

Answer Link

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