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#
