2 answers:
Angle ADB= 40 degrees. The triangle ADB is equal to 180 degrees. Subtract 180-105=75 Since vertical angles are always congruent angle ABD= 35 degrees. So 75-35=40. I hope this is what you’re looking for
Remark The way to do this problem is to find ADC first and then subtract <BDC from it. Argument A parallelogram has the property of having consecutive angles = to 180 degrees. That means that <DAB + <ADC = 180 Since <DAB = 105o then <ADC = 180 - 105 = 75 However, <ADC = 75 and <BDC = 35 <ADC = <ADB + <BDC 75 = <ADB +35 Subtract 35 from both sides 75 - 35 = 40 <ADB = 40 Degrees <<<<<< Answer
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