Question

find the measure of the interior angles of a regular polygon with 16 sides ​

Answer 1

Answer:

2520°

Step-by-step explanation:

sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520

Answer provided by gauthmath.

Answer 2

Answer:

Sum of interior angles of a convex 16 sided-polygon

( hexakaidecagon ) would be 2520∘.

Step-by-step explanation:

Whatever the number of sides of a polygon,

the sum of its exterior angles is always 360∘

Further, each pair of exterior angle and interior angle adds up to 180∘

Hence in a polygon with n sides (or angles),

the sum of all the interior and exterior angles would be 180∘×n

and sum of interior angles would be 180∘×n−360∘=180∘(n−2)

Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘.