Question

Find the measure of each interior angle of a regular
polygon with 16 sides.help me

good evening everyone...​

Answer 1

Answer:

See below

Step-by-step explanation:

Sum of interior angles of a convex 16 sided-polygon

( hexakaidecagon ) would be 2520∘

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∘

Answer 2

Answer:

Step-by-step explanation:

the measures of each interior angles is ( 180° - x ). We know that this sum is 360°. Therefore, the measures of each interior angle of a regular polygon of 16 side 157.5

Purple you army