construct a quadrilateral abcd in which ab=3cm, bc=4cm, tringle a=75 degee, triangle b= 90 degee tringle c= 120degree
draw AB with length 3
Construct angle A (90-15)°
construct right angle B
Draw BC with length 4
Construct C (90+30)°
D is where the rays from A and C meet.
I assume you can construct 90° angle
and bisect a 60° angle and also a 30° angle