Question

In the given parallelogram ABCD, find the value of x and y A=3y , B=2y-5 C = 3x + 3

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: