Math, asked by sreelekhaukris, 5 months ago

find the number of sides of a regular polygon if each interior angle is equal to 170 degree

Answers

Answered by Anonymous
12

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.

take care dear ♥️

Answered by PoojaBurra
5

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.

        180 - 170 = 10

  • So, the difference is 10 degree.
  • Then, 360 degree is divided by the difference found.

        \frac{360}{10} = 36

  • The quotient gives the number of sides of the regular polygon.

Therefore, the number of sides of the regular polygon is 36.

Similar questions