Question

How many sides does a regular polygon with interior angle measure of 168 degrees have?

Answer 1

Number of sides of a regular polygon having each internal angle equal to 168 degree is 30.

Solution:

Given that interior angle of regular polygon = 168 degree

Need to determine number of sides of a regular polygon.

Let’s first calculate exterior angle of a regular polygon.

Exterior angle = 180 – interior angle = 180 – 168 = 12 degree

`\text { Number of sides of regular polygon }=\frac{360}{\text { exterior angle }}`

So number of sides of regular polygon having exterior angle of 12 degree is given as:

`=(360)/(12)=30`

Hence number of sides of a regular polygon having each internal angle equal to 168 degree is 30