construct a trapezium in which ab =6cm, bc= 4cm ,cd =3.2 ,angle b = 75and dc parallel ab

please reply fast its urgent.

Answer :

Lets draw a isosceles trapezium , where AB  | | CD  

And 
AB  =  6 cm ,  BC   =  4  cm  CD  =  3.2 cm   and $\angle$ B   =  75$°$

And we know in isosceles trapezium non parallel sides are equal in length 
So,
CD  =  AD   =  3.2 cm 

And
The angles on either side of the bases are the same size , 
So,

$\angle$ A   =  $\angle$ B   = 75$°$  
And
$\angle$ C  =  $\angle$ D 

And 
$\angle$ B  +  ​$\angle$ C   =  180$°$ 
$\angle$ C  =  105$°$ 
And
$\angle$ C  =  $\angle$ D  =  105$°$

now we can construct a trapezium As  :

Step 1  -  Draw a line AB  =  6  cm
Step 2 -  Construct angle 75$°$ at A and at B As (  ​$\angle$ A   =  $\angle$ B   = 75$°$   ) 
Step 3 -  now take radius of 4 cm and cut the angle ray as take center A than it cut at D and take center B than it cut at C  ( As AD  =  BC   =  4 cm )

Step 4 -  Construct angle of 105$°$ at C and that ray meet at D as CD  =  3.2 cm