Question

Find the measurement of an exterior angle of a regular 28-gon.

Answer 1

Given:-

• There is a regular 28 sided polygon.

To find:-

• The measure of each exterior angle .

Answer :-

As we know that the sum of exterior angles of a polygon is 360° . Say if there are
`n` sides , then the measure of exterior angle is ,

`\implies (360^\circ)/(n)\\`

and here,

• 
  `n = 28`

So the measure of an exterior angle would be ,

`\implies (360^\circ)/(28)\\`

`\implies \boxed{ 12.857^\circ} \\`

Hence the measure of an exterior angle is 12.857° .

and we are done!