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Question

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


A

x=15, y=100

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B

x=60, y=25

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C

x=20, y=25

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D

x=20, y=100

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Solution

The correct option is C

x=20, y=25


In BAD and ADC,
BAD = CAD .........(given)
AD = AD .......(common)
ADB=ADC=90 .......(given)
ABD ACD .......(ASA Postulate)
AB = AC .......(CPCT)
3x22=38
3x=60
x=20
Also, ABD=ACD ........(CPCT)
3y25=75y
4y=100
y=25
x=20 , y=25


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