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Question

In the given figure, ABCD is a parallelogram. From the given options, select the values of x and y.


A
x=45
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B
y=105
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C
y=30
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D
x=75
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Solution

The correct option is C y=30


We know that the opposite angles of a parallelogram are equal.

So,
(3x10)=(x+80)3xx=80+102x=90x=45

Also, the consecutive angles of a parallelogram are supplementary.

So,
B+C=180(3x10)+(y+25)=180(3×45)10+y+25=18013510+y+25=180125+y+25=180y=18012525y=30


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