The bisector of ∠∠ABC and ∠ACE intersects at point D.

∴∠ 1=∠2,∠3=∠4

∫A+2∠2 = 2∠3

∴∠2=∠3- 1/2∠A

∠∠4 =∠2+∠D

∴∠D=∠4-∠2=∠4-∠3+ 1/2∠A

∴∠D= 1/2∠A=45