# construct a rhombus whose one angle and height is given

AB=BC=CD=DA

Draw AB

at B draw BX such that angle = <ABX = <ABC given

with B as centre and BC=AB as radius draw an interesting BX at C

we now have point C

with C as centre and CD=AB=BC=DA as radius draw an arc

and A as centre and CD=AB=BC=DA as radius draw an arc

intersecting point of the 2 above is arcs is D

We have a rhombus with AB=BC=CD=DA and <ABC = given angle