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Each interior angle of a regular polygon is 140 degree. find the no. of its sides?
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Each interior angle of a regular polygon is 140 degree. find the no. o...



Solution:

Identifying the Interior Angle:
- The sum of the interior angles of a polygon can be found using the formula (n-2) * 180 degrees, where n is the number of sides.
- Since each interior angle of the regular polygon is 140 degrees, we can set up an equation: 140 * n = (n-2) * 180.

Solving for the Number of Sides:
- Simplifying the equation, we get 140n = 180n - 360.
- Rearranging the terms, we have 40n = 360.
- Dividing both sides by 40, we find n = 9.

Conclusion:
- Therefore, the regular polygon has 9 sides.
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Each interior angle of a regular polygon is 140 degree. find the no. of its sides?
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Each interior angle of a regular polygon is 140 degree. find the no. of its sides? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Each interior angle of a regular polygon is 140 degree. find the no. of its sides? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each interior angle of a regular polygon is 140 degree. find the no. of its sides?.
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