KöMaL 2021 C1680

One side of a quadrilateral is 5 cm long, and the measures of the angles lying on it are $90^{\circ}$ and $60^{\circ}$. Given that the quadrilateral has both an inscribed circle and a circumscribed circle, find a method to construct the quadrilateral. Write down the steps of the construction. (Elementary steps of construction, like bisecting an angle or reflecting about a line do not need to be described in detail.)