Question

Find the values of x and y that make ABCD a parallelogram. A 7x-2 B 7x-1 C 6x+4 D 5x+2 x= y= 0 1 2 3

Answer 1

7°

Explanation:

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=1060∘=6∘

And, AD∥BC and transversal BD intersects them.

∴∠DBC=∠ADB

⇒4y=28∘

⇒y=428∘=7∘