Using the information given in the figure- the values of x and y areA- x-5- y-6B- x-6- y-7C- x-7- y-8D- x-8- y-7

The correct option is C nbsp;x = 7, y = 8In ∆ABD and ∆CDB, ∠BAD = ∠DCB (given) ∠ABD = ∠CDB (given) BD = BD (common) ∆ABD ≅ ∆CDB (AAS Postulate) AB = CD (cp ...

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Byju's Answer

Standard VIII

Mathematics

ASA Postulate

Using the inf...

Question

Using the information given in the figure, the values of x and y are ____ .

x = 6, y = 7

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x = 5, y = 6

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x = 7, y = 8

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x = 8, y = 7

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Solution

The correct option is C x = 7, y = 8
In $Δ$ ABD and $Δ$ CDB,
$∠$ BAD = $∠$ DCB (given)

$∠$ ABD = $∠$ CDB (given)
BD = BD (common)
$Δ$ ABD $≅$ $Δ$ CDB (AAS Postulate)
AB = CD (cpct)

5x - 7 = 28
5x = 35
x = 7

AD = BC (cpct)
8y - 18 = 46
8y = 64
y = 8

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Using the information given in the figure, the values of x and y are ____ .

The correct option is C x = 7, y = 8In ΔABD and ΔCDB, ∠BAD = ∠DCB (given) ∠ABD = ∠CDB (given) BD = BD (common) ΔABD ≅ ΔCDB (AAS Postulate) AB = CD (cpct) 5x - 7 = 28 5x = 35 x = 7 AD = BC (cpct) 8y - 18 = 46 8y = 64 y = 8

The correct option is C x = 7, y = 8
In $Δ$ ABD and $Δ$ CDB,
$∠$ BAD = $∠$ DCB (given)

$∠$ ABD = $∠$ CDB (given)
BD = BD (common)
$Δ$ ABD $≅$ $Δ$ CDB (AAS Postulate)
AB = CD (cpct)

5x - 7 = 28
5x = 35
x = 7

AD = BC (cpct)
8y - 18 = 46
8y = 64
y = 8