The following figures GUNS and RUNS are parallelograms

Find x and y (Lengths are in cm)


(i)


(ii)


(i) We know that the lengths of opposite sides of a parallelogram are equal to each other

GU = SN


3y − 1 = 26


3y = 27


y = 9


SG = NU


3x = 18


x = 6


Therefore, the measures of x and y are 6 cm and 9 cm respectively


(ii) We know that the diagonals of a parallelogram bisect each other


y + 7 = 20


y = 13


x + y = 16


x + 13 = 16


x = 3


Hence, the measures of x and y are 3 cm and 13 cm respectively


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