[hope you can draw your own picture, thank you] in the triangle ABC, point D is on AC, point E is on AB, and ab = AC, BC = BD, ad = de = EB, find the degree of angle A

[hope you can draw your own picture, thank you] in the triangle ABC, point D is on AC, point E is on AB, and ab = AC, BC = BD, ad = de = EB, find the degree of angle A

Angle a = angle AED = angle CBD
Angle abd = 1 / 2 angle AED = 1 / 2 angle a
2 (angle abd + angle CBD) + angle a = 180
Angle a = 45 degrees