AGCFE is pentagonal.

The sum of the interior angles of the polygon is (n-2) * 180.

∴∠bae+∠aef+∠efc+∠dcf+∠agc=(5-2)* 180 = 540

∠∠BAE = 124∠DCF = 155 ,ae⊥ef,cf⊥ef

∴∠AGC=8 1

∴ The angle formed by the intersection of the extension lines of AB and CD does not meet the requirements.