find the number of sides of a regular polygon if each interior angle is equal to 170 degree
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A regular polygon with each interior angle of 170 deg will have each exterior angle as 180–170 = 10 deg. Hence the number of sides in the regular polygon = 360/10 = 36 sides.
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Answered by
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Given: Each interior angle of a regular polygon is equal to 170 degree.
To find: The number of sides of the regular polygon.
Solution:
- The interior angle of a regular polygon is the angle formed between any two consecutive sides.
- In order to solve the given question, the difference between 180 degree and the interior angle is to be found out first.
- So, the difference is 10 degree.
- Then, 360 degree is divided by the difference found.
- The quotient gives the number of sides of the regular polygon.
Therefore, the number of sides of the regular polygon is 36.
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