Question

Find the measure of x,y,z in each parallelogram​

Answer 1

where is the question???

Answer 2

Answer:

hope it helps

Step-by-step explanation:

We know that adjacent angles of a parallelogram ABCD are supplementary.

∴∠A+z=180

∘

⇒z=180

∘

−120

∘

=60

∘

We We know that opposite angles of a parallelogram ABCD are equal.

∴z=∠CDA=60

∘

and ∠BAD=∠BCD=120

∘

∠B=z+a=180

∘

(linear pair)

⇒a=180

∘

−z=180

∘

−60

∘

=120

∘

⇒x+∠DCB=180

∘

(linear pair)

⇒x=180

∘

−∠DCB=180

∘

−120

∘

=60

∘

⇒y+∠CDA=180

∘

(linear pair)

⇒y=180

∘

−∠CDA=180

∘

−60

∘

=120

∘

∴a=120

∘

,z=60

∘

,x=60

∘

,y=120

∘