(i) Since GUNS is a parallelogram, therefore, its opposite sides are equal,
i. e., GS = UN and GU = SN
or 3x = 18, => x = 6
and 3y – 1 = 26
or 3y = 26 + 1 = 27
or y = 9
∴x = 6 cm and y = 9 cm
(ii) Diagonals of a parallelogram bisect each other, therefore,
OR = ON i.e. 16 = x + y ….(1)
and OU = OS i.e. y + 7 = 20 ….(2)
From (2), y = 20 – 7 = 13 cm
putting y = 13 in (1), we get
16 = x + 13
or x = 16 – 13 = 3 cm
Hence x = 3 cm and y = 13 cm
