Question

23. In the given figure, ABCD is a parallelogram DE|| AB
and BFIAD. The value of x is
​

Answer 1

Answer:

SinceABCDis a parallelogram,

AB∥

DC

and

AD∥

BC

Now,

AB∥

DC

and transversal BD intersects them.

∴ ∠ABD= ∠BDC

⇒ 10x=

60 ∘

⇒ x=

10

60 ∘

=

6 ∘

And,

AD∥

BC

and transversal BD intersects them.

∴ ∠DBC= ∠ADB

⇒ 4y=

28 ∘

⇒ y=

4

28 ∘

=

7 ∘