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Find the number of sides of a regular polygon with 170 degrees? - Answers

If the internal angles are 170 then the external are 180 -170 ie 10 deg. The sum of external angles is always 360 deg so there are 360/10 ie 36 sides. Alternatively, the internal angles of an n-sided polygon always sum to (180n -360) deg, so each angle = (180n -360)/n ie ((180n - 360)/n = 170 ie 180n - 360 = 170n ie 10n = 360 so n = 36



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Find the number of sides of a regular polygon with 170 degrees? - Answers

https://math.answers.com/algebra/Find_the_number_of_sides_of_a_regular_polygon_with_170_degrees

If the internal angles are 170 then the external are 180 -170 ie 10 deg. The sum of external angles is always 360 deg so there are 360/10 ie 36 sides. Alternatively, the internal angles of an n-sided polygon always sum to (180n -360) deg, so each angle = (180n -360)/n ie ((180n - 360)/n = 170 ie 180n - 360 = 170n ie 10n = 360 so n = 36



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https://math.answers.com/algebra/Find_the_number_of_sides_of_a_regular_polygon_with_170_degrees

Find the number of sides of a regular polygon with 170 degrees? - Answers

If the internal angles are 170 then the external are 180 -170 ie 10 deg. The sum of external angles is always 360 deg so there are 360/10 ie 36 sides. Alternatively, the internal angles of an n-sided polygon always sum to (180n -360) deg, so each angle = (180n -360)/n ie ((180n - 360)/n = 170 ie 180n - 360 = 170n ie 10n = 360 so n = 36

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      If the internal angles are 170 then the external are 180 -170 ie 10 deg. The sum of external angles is always 360 deg so there are 360/10 ie 36 sides. Alternatively, the internal angles of an n-sided polygon always sum to (180n -360) deg, so each angle = (180n -360)/n ie ((180n - 360)/n = 170 ie 180n - 360 = 170n ie 10n = 360 so n = 36

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