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The no of sides of 2 regular polygons are in a ratio 5:4 and the difference between there angles is 9 degree. Find the no of sides of each polygon

The no of sides of 2 regular polygons are in a ratio 5:4 and the difference between there angles is 9 degree. Find the no of sides of each polygon

Grade:11

1 Answers

Yash Chourasiya
askIITians Faculty 256 Points
2 years ago
Hello Student

Letnbe the Greatest Common Divisor (GCD) of the numbers under the question.
Then one polygon has5nsides, while the other has4nsides.
It is well known fact that the sum of exterior angles of each (convex) polygon is360o.

For further solution please see in the attachment.
643-2089_Untitled.png

I hope this solution will help you.

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