What is the sum of the measures of all the interior angles of a regular polygon of 6 sides?
- A1080
- B1260
- C1440
- D720
Solution & Step-by-step Explanation
The sum of the interior angles of a polygon with n sides is given by the formula:
Sum=(n−2)×180
∘
For a 6-sided polygon (hexagon), n=6:
Sum=(6−2)×180
∘
=4×180
∘
=720
∘
Sum=(n−2)×180
∘
For a 6-sided polygon (hexagon), n=6:
Sum=(6−2)×180
∘
=4×180
∘
=720
∘