Q.10 Find x and y in the given figure GUNS, if it is a parallelogram.
S
26
N
3x
18
34-1
U
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Answer:
(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
Hence, 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
Step-by-step explanation:
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