4x + 2x = < yThis is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).We have to find X.As you know: [tex]3x + 4x + 2x = 180[/tex]because the angles of a triangle add up to 180.When we add them:[tex]9x = 180[/tex][tex]x = \frac{180}{9} [/tex]The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-[tex]x = 20[/tex]Substitute value of x into 4x and 2x to find the exterior angle:-4x:[tex]4(20) = 80[/tex]2x:[tex]2(20) = 40[/tex] When we add them we get the answer for angle Y:- [tex]80 + 40 = 120[/tex]Therefore, we can conclude that:[tex] < y = 120 \: degrees[/tex]