The answer is 42.
The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).
To find angle E:
[tex]79 + 6x + 11 + 7x - 14 = 180[/tex]
Move numbers to the right side:
[tex]6x + 7x = 180 - 79 - 11 + 14[/tex]
Combine like terms:
[tex]13x = 104[/tex]
Divide both sides by 13:
[tex]x = 8[/tex]
The formula for angle E:
[tex]7x - 14 [/tex]
Plug in the 8:
[tex]7 \times 8 - 14 = 56 - 14 = 42[/tex]
The angle measure of E is 42. So angle N is automatically 42 too.
To solidify, we can try to use the formula which they give us for angle N:
[tex]3x + 18 = 24 + 18 = 42[/tex]
