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Question

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


A

x=15,y=60

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B

x=15,y=30

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C

x=30,y=30

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D

x=10,y=60

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Solution

The correct option is B

x=15,y=30


In BAD and CAD

(i) AD = AD ......(common)

(ii) ADB=ADC=90 .....(given)

(iii) BD = CD .....(given)

(iv) BADCAD..... (SAS postulate)

(v) AB = AC ......(cpct)

3x17=x+13

2x=30

x=15

(vi) BAD=CAD ........(cpct)

(vii) BAD=30 (sum of angles of ADB)

(viii) y=BAD=30

Hence (B)


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