What did I do wrong?

Question

anonymous · Answer

problem

anonymous · Answer

attachment

anonymous · Answer

the 2nd picture is the diagram ignore the highlights.

anonymous · Answer

looks like $3x-8=x+20$?

radar · Answer

You have set up an incorrect formula.  
(3x-8) +(x=20) does not equal 180 degree

radar · Answer

(3x-8)+(x+20)+<F=180 degree

radar · Answer

Since AF = DF you can state that Angle A = Angle D so you can state.
3x-8=x+20
2x=28
x=14 degrees so that would mean
Angle=3(14) - 8=42-8=34 degrees (angle A)
x+20= 14+20 =34 Angle D

radar · Answer

Did you follow that with understanding?

radar · Answer

Do you know why Angle A = Angle D?

radar · Answer

What you really did wrong was to leave this question before a dialogue regarding your understanding of the problem.

anonymous · Answer

Waiittt...
whoah.

anonymous · Answer

Where did <F come from?

anonymous · Answer

OH I UNDERSTAND.
Thank you so much for your time @radar  thank you thank you!

radar · Answer

You are most welcome.  Glad you now understand.  Understanding the flaw in your original equation, and understanging that those two angles were equal.  It is obvious you have a good understanding of algebra, good luck.