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Question
In Fig. 1, ABCD is a rectangle. Find the value of x and y.
Solution
In rectangle ABCD, DC = AB and BC = AD
⇒ x + y = 30 .....(i) and x − y = 14 .....(ii)
Adding (i) and (ii), we get
2x = 44
⇒ x = 22
Put x = 22 in (i), we get y = 8
Hence, x = 22 and y = 8.
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