a parallelogram ABCD. Find x and y.
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Since ABCD is a parallelogram, AB∥DCand AD∥BC
Now, AB∥DC and transversal BDintersects them.
∴∠ABD=∠BDC since alternate angles are equal.
⇒10x=60∘
⇒x=1060∘=6∘
And, AD∥BC and transversal BDintersects them.
∴∠DBC=∠ADB
⇒4y=28∘
⇒y=428∘=7
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