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ABCD is a parallelogram, find x+ y

ABCD is a parallelogram, find x+ y-example-1
User Ogward
by
3.3k points

1 Answer

12 votes

Answer:

Explanation:

Here, ABCD is a parallelogram.

∠CBD=40

o

and ∠BAD=80

o

.

AD∥BC and BD is a transversal.

∴ ∠ADB=∠CBD [ Alternate angles ]

∴ ∠ADB=40

o

.

∴ y=40

o

.

In △ADB,

⇒ ∠ADB+∠DBA+∠BAD=180

o

⇒ 40

o

+x+80

o

=180

o

⇒ 120

o

+x=180

o

⇒ x=180

o

−120

o

⇒ x=60

o

We get, x=60

o

and y=40

o

.

User Lwxted
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3.7k points