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How many quadrilaterals can I construct with the following data: Quadrilateral PQRS with PQ = 4.5 cm, Angle P = 70∘, Angle Q = 100∘, Angle R = 80∘ and Angle S =80∘.
Options:
A .  0
B .  1
C .  2
D .  Infinite
Answer: Option D
:
D
How Many Quadrilaterals Can I Construct With The Following D...
From above diagram, it can be observed that side PQ can be constructed and angles P and Q can be drawn. But it is not possible to fix points R and S. Hence, infinite quadrilaterals can be drawn fixing points P and Q wherever required according to angles R and S.

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