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Question

If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 8 : 7 : 6 : 9, then PQRS is always a

A
Kite
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B
Trapezium
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C
Rhombus
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D
Parallelogram
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Solution

The correct option is B Trapezium
For a kite, a rhombus and a parallelogram, the opposite angles are equal.
Since, the ratio of angles of PQRS are given as 8 : 7 : 6 : 9.
This implies, all the angles of PQRS are distinct, i.e., un-equal.
Thus, PQRS is always a trapezium.
Hence, the correct answer is option (2).

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