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