Question

In a parallelogram ABCD, find the value of x and y if ∠A = , ∠B = ( − ) , ∠C = ( + ) ​

Answer 1

Answer:

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 ∘

Step-by-step explanation:

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