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Question


Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm ,  ABC = 45 and  BCD = 55?


Options:
A .   Yes, it is possible
B .   No, two such quadrilaterals can be constructed
C .   No, there can be infinite such quadrilaterals
D .   With the measure of one more side, yes
Answer: Option A
:
A

Step 1: Draw AB = 5cm.


Step 2: At B, draw an angle of 45 and mark 6 cm along that angle. Mark the point as C.


Step 3: At C, draw an angle of 55 and mark 7cm along that angle. Mark the point as D.


Step 4: Join point A and D. So, quadrilateral ABCD can be constructed.



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