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How many sides does a polygon have if the sum of the interior angles is 900∘?

2 Answers

5 votes

Answer:

It's a heptagon, so 7 sides

Explanation:

User Dulacp
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2 votes

Answer:

7 slides

Explanation:

Sum of exterior angles of any polygon is always 360∘, it can never be 900∘. Hence, there cannot be any polygon like this.

It appears that by error the word "exterior" has been mentioned. In case sum of interior angles is 900∘,

total sum of all the angles is 900∘+360∘=1260∘.

But sum of each pair of interior and exterior angles add up to 180∘

we have 1260∘180∘=7 such pairs

and hence polygon has 7 sides.

User Dennis Ziolkowski
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