Construct a trapezium ABCD in which AB=6cm, BC=4cm, CD=3.2cm, B = 75° and DC||AB.

The given trapezium ABCD can be drawn as follows:


Step 1: Draw a line segment AB = 6 cm


Step 2: With B as centre, draw a ray BX such that ABX = 75°.


Step 3: Again with B as centre and radius BC = 4 cm draw an arc on ray BX. Mark the intersection point as C


Step 4: With C as centre, draw a ray CY such that BCY = 105°


Step 5: Again with C as centre and radius, CD = 3.2 cm draw an arc on ray CY. Mark the intersection point as D.


Step 6: Join AD.


ABCD is the required trapezium.



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