A Neighboring Triangle

Geometry Level 3

Given that :

  1. ABC\triangle ABC is an isosceles triangle, with AB=ACAB=AC.
  2. ADC\triangle ADC is an isosceles triangle, with DA=DCDA=DC.
  3. BAC=100\angle BAC = 100^\circ
  4. DAC=20\angle DAC = 20^\circ

What is the measure of ABD\angle ABD in degree?

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