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The interior angle of a polygon …

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The interior angle of a polygon are in AP. The smallest angle is 120 and the common difference is 5. Find the number of sides of the polygon

Posted by Navneeth Naidu 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Puja Sahoo 6 years, 11 months ago

Yar yogita ye answer to google main tha kya tumne copy, paste kiya hai ise

1Thank You

Yogita Ingle 6 years, 11 months ago

Smallest angle = 120degree

Common difference = 5

A P is 120, 125, 130,……..

The sum of interior angles of a polygon = (n - 2)180

Hence Sum of n terms of an A P = (n - 2)180

n/2 {2.120+(n-1)5} = 180(n-2)

5n²- 125n + 720 = 0

n² -25n + 144 = 0

n = 9 or 16

Hence number of sides can be 9 or 16.

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