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if the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon have?

2 Answers

4 votes
Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Number of Sides = (Sum of Interior Angles / 180) +2

Number of Sides = (900 / 180) +2

Number of Sides = 7

It's a heptagon


User Aacotroneo
by
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3 votes

Answer:

7. It is a heptagon

Explanation:

900 = (n - 2)180

900 = 180n - 360

900 + 360 = 180n - 360 + 360

1260 = 180n

n = 7

User Allan Simonsen
by
8.2k points