Question

Find the values of x and y in the following parallelogram. Also find the measures of Angle A, Angle B, Angle C and Angle D​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

y=100

Step-by-step explanation:

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

⇒  ∠A+∠B=180 degree     [ Sum of adjacent angles are supplementary in parallel ]

⇒  110  +(40  +x)=180    

⇒  150   +x=180    

⇒  x=30 degrees

In △OBC,

⇒  ∠OBC+∠BCO+∠COB=180  

⇒  x+50   +y=180    

⇒  30   +50   +y=180  

⇒  80  +y=180    

∴  y=100  

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