Steps of construction :
(i) Draw a line segment AC = 4 cm.
(ii) Draw ∠CAX = 60˚.
(iii) Draw the perpendicular bisector MN of AC.
(iv) Draw EA ⊥ AX at the point A which intersects MN at O.
(v) With centre O and radius OA draw a circle.
(vi) Mark a point B on the circumference of the circle such that AB = 1.5 cm and mark a point D on the circumference so that AD = 2.0 cm.
(vii) Join BC and measure ∠ABC = 60˚. Then ABCD is the required cyclic quadrilateral .