What is the value of B, if the given quadrilateral PQRS is a parallelogram with sides as mentioned in the figure.

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Solution

The correct option is B 7
As the opposite sides in a parallelogram are equal, we can write
PQ = RS ⇒ 5A + 17 = 37
⇒5A = 37 -17 = 20
⇒5A = 20
⇒A = 4.
Similarly, A+B = 11
⇒4+B = 11
⇒B = 11 - 4
⇒B = 7.

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