Question

Find the measure of one interior angle of a regular 16-gon.A. 156B. 160C. 154.3D. 157.5

Answer 1

A polygon with 16 sides is called a hexadecagon.

Step1: Get the total angle in a 16-sided polygon

To get the measure of the interior angle of a polygon, we will use the relationship below:

`(n-2)*180`

In our case, n= 16 because it is 16 sided (hexadecagon)

=>

`(16-2)*180=14*180=2520^0`

Step 2: Find the measure of each interior angle

This will be achieved by dividing the total angle by the number of sides (16)

`(2520^0)/(16)=157.5^0`

Answer = 157.5

Option D is co