Question

y
(9) For parallelogram ABCD, find the values of unknown x and
(i) D
D
22
C с
20
4.x
20
x+y
y + 8
18
M
A 3y - 2 B
PB OC
34-2 e 22
Ар z BL
777
A
DM​

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

∘

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