Question

I need the following figures GUNS and RUNS are parallelogram. find x and y

Answer 1

Heya!
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◾For GUNS :-
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➡ We have ,
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=> 3y - 1 = 26 ..............(1 )

=> 3x = 18 ................(2 )

< Since Opposite sides of a Parallelogram are Equal >

◾From (1 ) and (2),

=> 3y = 27

=> y = 9✔
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=> 3x = 18

=> x = 6 ✔
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◾For RUNS:
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✔We have ,
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=> x + y = 16 ..............(1 )

=> y + 7 = 20 ..............(2)

< Since Diagonal of a Parallelogram are equal >

=> From (2),

◾y = 20 - 7

=> y = 13 ✔
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◾Put y = 13 in (1 )
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=> x + 13 = 16

=> x = 3 ✔
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Answer 2

i) Given parallegrom GUNS

GU = 3y-1 SN = 26

GS = 3x NU = 18

GU = SN

$3y - 1 = 26 \\ 3y = 26 + 1 \\ y = \frac{27}{3} \\ y = 9$

and GS =NU

$3x = 18 \\ 3x = 18 \\ x = \frac{18}{3} \\ x = 6$

ii) Given a parallegrom RUNS

RU & SU are diagonals

Here, SO = OU

$y + 7 = 20 \\ y = 20 - 7 \\ y = 13$

and, RO = ON

$x + y = 16 \\ x + 13 = 16 \\ x = 16 - 13 \\ x = 3$