Which is greater: An angle showing a turn through 1/6 of a circle or an angle showing to turn through 1/5 of a circle explain your answer

Respuesta :

Answer:

An angle showing a turn through 1/5 of a circle is greater

Step-by-step explanation:

we know that

A complete circle represent [tex]360\°[/tex]

so

An angle showing a turn through 1/6 of a circle is

[tex](360\°)*(\frac{1}{6})=60\°[/tex]

An angle showing a turn through 1/5 of a circle is

[tex](360\°)*(\frac{1}{5})=72\°[/tex]

therefore

An angle showing a turn through 1/5 of a circle is greater