Question

A carpenter is building a rectangular bookcase with diagonal braces across the back as shown the Carpender knows that angle ADC is a right angle in that angle BDC is 32° greater than angle ADB

Answer 1

I think I have the diagram right.
Let ADB = x, and then BDC = x+32.
x+x+32 = 90
2x = 58
x = 29 = ADB
so BDC = 61