Hello Sir/Maam

I still have a doubt with the following question:

Is it possible to construct a unique quadrilateral ABCD with AB = 4cm,AD = 6cm, angle abc = 60 °,dab = 75° ,ADC = 85°. If yes , find the value of angle bcd.

Actually I have the steps properly but i am still not getting angle bcd as 140 °

So please can you help me with above mentioned question.

Thanking you

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Solution

Dear student, I tried to draw it.
Its not possible to draw this quadrilateral

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Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6 cm, $∠$ ABC = $60^{\circ}$ , $∠$ DAB = $75^{\circ}$ ,

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Q. Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6cm, angleABC =60°, angleDAB = 75°, and angleADC =85°? If yes then how? Draw diagram and find value of angleBCD.

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Dear student, I tried to draw it. Its not possible to draw this quadrilateral

Dear student, I tried to draw it.
Its not possible to draw this quadrilateral