Prove that in a regular hexagon, the sum of all its interior angles is twice the sum of exterior angles formed by producing the sides in the same order.Find the value of each interior and the corresponding exterior angle of the regular hexagon.
Answers
Answered by
5
The value of each interior angle is 120°
The value of each exterior angle is 60°
The proof is given below:
We know that sum of all the internal angles of n sided polygon is given by
If the polygon is a regular polygon, then each angle is given by
For a regular hexagon, sum of all the interior angles
........ (1)
Each interior angle is
If the interior angles is known then each exterior angle is given by
Thus, each exterior angle of regular hexagon is
Thus, sum of all the exterior angles
......... (2)
From (1) and (2) we can see
(Proved)
Hope this answer is helpful.
Know More:
Similar Question: https://brainly.in/question/20940013
Similar questions