Question

ABCD is a parallelogram with vertices A((4, 2), B(4, 0), C(1, 0), D(x, y). Find the value of x and y.

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Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

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

Now, AB∥DC and transversal BD intersects them

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∘

∴∠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∘

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