Q.4 - The following figure is a parallelogram GUNS. Find x and y
26 cm
3x
18 cm
3y-1
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Answer:
SG = NU and SN = GU (opposite sides of a parallelogram are equal)
3x = 18
\begin{array}{l} \Rightarrow \mathrm{x}=\frac{18}{3}=6 \\ 3 \mathrm{y}-1=26 \text { and } \\ \Rightarrow 3 \mathrm{y}=26+1 \\ \Rightarrow \mathrm{y}=\frac{27}{3}=9 \end{array}
x = 6 and y = 9
ii) 20 = y + 7 and 16 = x + y (diagonals of a parallelogram bisect each other)
y + 7 = 20
⇒ y = 20 - 7 = 13 and,
x + y = 16
⇒ x + 13 = 16
⇒ x = 16 - 13 = 3
x = 3 and y = 13
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