Question

Find values of x and y for the following parallelograms:​

Answer 1

Answer:

Adjacent angles of a parallelogram are supplementary.

⇒120

∘

+(5x+10)

∘

=180

∘

⇒5x+10

∘

+120

∘

=180

∘

⇒5x=180

∘

−130

∘

⇒5x=50

∘

⇒x=10

∘

Also, opposite angles of parallelogram are equal.

⇒6y=120

∘

⇒y=20

∘

Answer 2

Answer

Adjacent angles of a parallelogram are supplementary.

⇒120

∘

+(5x+10)

∘

=180

∘

⇒5x+10

∘

+120

∘

=180

∘

⇒5x=180

∘

−130

∘

⇒5x=50

∘

⇒x=10

∘

Also, opposite angles of parallelogram are equal.

⇒6y=120

∘

⇒y=20

∘