Question

ABCD is a parallelogram such that A=(3x - 10), C= (x + 80)°and D = (y + 25)°. Find
the values of x and y.​

Answer 1

Answer:

ANSWER

Since ABCD is a parallelogram, AB∥DC and AD∥BC

Now, AB∥DC and transversal BD intersects them.

∴∠ABD=∠BDC since alternate angles are equal.

⇒10x=60

∘

⇒x=

10

60

∘

=6

∘

And, AD∥BC and transversal BD intersects them.

∴∠DBC=∠ADB

⇒4y=28

∘

⇒y=

4

28

∘

=7

∘