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Question

If the figure "ABCD" is a parallelogram. Which among the following is/are true?


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 options are
A

x=45


C

y=30


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

(3x10) = (x+80)

2x=90

x=45

Also, adjacent angles of a parallelogram are supplementary.

(3x10)+(y+25)=180

(3(45)10)+(y+25)=180

(13510)+(y+25)=180

125+y+25=180

y=18012525

y=180150

y=30


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