Math, asked by creativityminute064, 5 days ago

In a parallelogram ABCD, find the value of x and y if ∠A =



,

∠B = ( − )



, ∠C = ( + )



Answers

Answered by hemant867
0

Since ABCD is a parallelogram, AB∥DC and AD∥BC

Now, AB∥DC and transversal BD intersects them.

∴∠ABD=∠BDC since alternate angles are equal.

⇒10x=60

⇒x=

10

60

=6

And, AD∥BC and transversal BD intersects them.

∴∠DBC=∠ADB

⇒4y=28

⇒y=

4

28

=7

Answered by Anonymous
1

\huge\boxed{\mathcal\pink{Answer}}

In Parallelogram ABCD, ∠A and ∠Bare adjacent angles. Then, we have ∠A and ∠B as consecutive interior angles which must be supplementary. Hence, the sum of ∠A and ∠B is 180°.

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