Question

ABCD is a parallelogram. find (x+y)​

Answer 1

Answer:

100°

Step-by-step 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

Thanks