∠ DCE = 60 = ∠ 3+∠ 2, so∠1=∠ 3.
The perpendicular line of CD passing through point E intersects CD at G, and the perpendicular line of AB passing through point D intersects AB at H, then
∠4+∠5=90,∠4+∠DCE=90,∠4=30
So ∠ 5 = ∠ DCE = 60, CD//AB.
△ABC, ∠ACB= 120 degrees, ∠ CAB = ∠ B = 30 degrees.
Because CD//AB, ∠ 3 = ∠ cab = 30.
∠ 1=∠3, so∠1= 30.
Due to DH//GE, ∠EDH=∠DEG.
∠ADH=30,? ∠ADE=∠ADH+∠EDH
∠4=30 ,? ∠DEC=∠DEG+∠4
So? ∠ADE=? ∠DEC, AD//CE can be introduced.
Because CD//AB, AD//CE, quadrilateral ACDE is a parallelogram.
In △ADH, DH= 1/2AD, DH= 1/2DE, so AD=DE.
In △BCE, CE= 1/2BE, and since CE=AD, BE=2AD=AD+DE.