Answer:
Angle F = 60
Angle E = 120
Step-by-step explanation:
Angle E = Angle G whereas Angle D = Angle F
Angle D + Angle G = 180, Angle E + Angle F = 180
Angle D + Angle E + Angle F + Angle G = 360
In this case, it's Angle E and F. Keep in mind that Angle D is the same as Angle F so you can just do 5x + 2x+12 = 180.
Subtract 12 on both sides to get 168, so the equation is 5x + 2x = 168.
Add 5x and 2x to get 7x. Your final equation is 7x = 168
Divide 7 on both sides to get 24.
So x = 24
Now plug in x in for both angle equations so Angle F = 2(24) + 12 and you get 60.
For Angle E you plug in 5(24) and you get 120.