4x + 2x = < y
This 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]
