In the adjoining figure, PQRS is a parallelogram. Find the value of x, and y.
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Property of parallelogram : Opposite angles of parallelogram are equal . Hence the value of x is 20 and y = 30.
Step-by-step explanation:
In a parallelogram, we know that the diagonals bisect each other.
Therefore SO=OQ.
This given 16=x+y.
Similarly, PO=OR,
20=y+7. We obtain
y=20−7=13 cm.
Substituting the value of y in the first relation, we get 16=x+13.
x=16−13
x=3
Hence, the value of x=3 cm
y=13 cm
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