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

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

8 0

Answer:

7 slides

Step-by-step 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.

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