# What is the measure of one angle of a regular 12-sided polygon?

Apr 6, 2018

150°

#### Explanation:

To find the total amount of degrees in any shape we can use formula:

$\left(n - 2\right) \cdot 180$

[Where $n$ = number of sides]

$\left(12 - 2\right) \cdot 180$

$\left(10\right) \cdot 180$

$= 1800$

So there are 1800 degrees in a 12-sided polygon. To find the measure of one angle, we now divide the total amount of degrees (1800) by the number of sides, $n$

$\left(\frac{1800}{12}\right)$ = 150°