Draw quadrilateral ABCD using the following data

AB = 5.5

BC= 2.5

AC = 4 CM

ANGLE A = 65 ANGLE B = 55 DEGREE

( Angle D and AD BD is not given . Is it is possible to construct the Quadrilateral or not ?? )

Answer :

We can form our figure from given information , As  :

Step 1 )  Draw a line AB  =  5.5 cm 

Step 2 ) Construct angle of 65° , At point  ' A  '  and angle of 55° at point  ' B ' .

Step 3 ) Now take radius of 2.5 cm and center as B and draw an arc on angle B , ray that meet at ' C ' . As BC  =  2.5 cm

Step 4 ) Now take radius of 4 cm and center as A draw an arc on angle B , ray that meet at ' C ' . AC  =  4 cm

But we don't know the length of CD or AD or any angle to form a line CD or AD  , 

SO we can say that we can form our figure as , But not a quadrilateral from given information .

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