Question

in the given parallelogram ABCD, find the value of x and y​

Answer 1

∆ Answer

ABCD is a parallelogram, with diagonals AC and BD intersect at point O.

⇒ ∠A+∠B=180 o

[ Sum of adjacent angles are supplementary in parallel ]

⇒ 110 o +(40o +x)=180 o

⇒ 150o +x=180 o

⇒ x=30 o

In △OBC,

⇒ ∠OBC+∠BCO+∠COB=180 o

⇒ x+50 o +y=180 o

⇒ 30

o

+50

o

+y=180

o

⇒ 80

o

+y=180

o

∴ y=100

o

∴ x=30o ,y=100o

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Answer 2

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