1)Jane said she draw a regular polygon and measured one of its exterior angle. She got 125°. Explain to her why this is impossible. ​

Sagot :

Answer:

In order to draw a regular polygon, the quotient of 360 over exterior angle must be equal to a whole number.

[tex]n = \frac{360}{exterior \: angle} [/tex]

[tex]n = \frac{360}{125} [/tex]

[tex]n = 2.88[/tex]

The answer is a decimal, therefore we conclude that its impossible to draw a regular polygon with 125 exterior angle.