# Work out the size of one interior angle of a regular 15-sided polygon?

##### 1 Answer

May 28, 2018

#### Explanation:

#"the "color(blue)"sum of the interior angles of a polygon"# is.

#•color(white)(x)180^@(n-2)#

#"where n is the number of sides of the polygon"#

#"here "n=15#

#"sum "=180^@xx13=2340^@#

#"one interior angle "=2340^@/15=156^@#