Question

ABCD is a parallelogram find x , y and z

Answer 1

Step-by-step explanation:

Here, ABCD is a parallelogram.

∠CBD=40°

and ∠BAD=80°

.

AD∥BC and BD is a transversal.

∴ ∠ADB=∠CBD [ Alternate angles ]

∴ ∠ADB=40°

∴ y=40°

In △ADB,

⇒ ∠ADB+∠DBA+∠BAD=180°

⇒ 40° +x+80°

=180°

⇒ 120°+x=180°

⇒ x=180° −120°

⇒ x=60°

We get, x=60°and y=40°