Question

The Orlando eye in Orlando, Florida is a regular polygon with 30 sides. Which of the following is the measure of each interior angle of the polygon?

Answer 1

Answer:168

Explanation:

N is the number of sides. Formula is (n-2)×180/n. So (30-2)= 28×180=5040÷30= 168

Answer 2

The measure of each interior angle of the polygon is
`168\°`

Explanation:

we know that

The sum of the internal angles in a polygon is equal to

`S=(n-2)180\°`

where

n is the number of sides of polygon

In this problem we have

`n=30\ sides`

substitute

`S=(30-2)180\°=5,040\°`

To find the measure of each internal angle divide the total sum of internal angles by the number of sides

so

`5,040\°/30=168\°`