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Question

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 =110.


A

0

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B

1

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C

Infinite

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D

2

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Solution

The correct option is C

Infinite


2

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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