8.The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

(i)Opposite sides of a parallelogram is equal so we have,
GU=SN

\(\Rightarrow 3y-1=26\)

\(\Rightarrow 3y=26+1\)

\(\Rightarrow 3y=27\)

\(\Rightarrow y=\frac{27}3=9\)

Similarly, we have GS=UN

\(\Rightarrow 3x=18\)

\(\Rightarrow x=\frac{18}3=6\)

Hence, we have \(x=6cm\;and \;y=9cm\)

(ii)As we know that the diagonals of parallelogram bisect each other so we have

OU=OS

\(\Rightarrow y + 7 = 20\)

\(\Rightarrow y = 20 – 7 = 13\)

Similarly, ON = OR

\(\Rightarrow x + y = 16\)

\(\Rightarrow x + 13 = 16\)

\(\Rightarrow x = 16 – 13 = 3\)

Hence,\( x = 3 cm\; and \;y = 13 cm.\)