# The interior angles of a hexagon are #x+2, x-8, x +7, x -3, x+6, and x -4#. What is the value of #x#?

##### 1 Answer

Jun 24, 2018

#### Explanation:

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

#•color(white)(x)"sum "=180^@(n-2)#

#"where n is the number of sides"#

#"for a hexagon "n=6#

#"sum "=180^@xx4=720^@#

#"sum the 6 given angles and equate to 720"#

#x+2+x-8+x+7+x-3+x+6+x-4=720#

#6x=720rArrx=720/6=120#