The angles of a hexagon are x+10o, 2x+20o, 2x−20o,3x−50o, x+40o, and x+20o. Find x.
Angles of a hexagon are x+10o, 2x+20o, 2x−20o, 3x−50o, x+40o and x+20o,∴But sum of angles of a hexagon =(x−2)×180o=(6−2)×180o=4×180o=720oBut sum=x+10+2x+20o+2x−20o+3x−50o+x+40+x+20=10x+90−70=10x+20∴10x+20=720o⇒10x=720−20=700⇒x=700o10=70o∴x=70o