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Question

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


A

x=7,y=8

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B

x=5,y=8

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C

x=7,y=6

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D

x=5,y=7

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Solution

The correct option is D

x=7,y=8


In ABD and CDB

(i) BAD=DCB .....(given)

(ii) ABD=CDB.....(given)

(iii) BD = BD .....(common)

(iv) ABDCDB....(AAS Postulate)

(v) AB = CD .....(cpct)

5x7=28

5x=35

x=7

(vi) AD = BC ......(cpct)

8y18=46

8y=64

y=8

Hence (A)


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