.ABCD is a parallelogram as shown in the figure. AC is x+y=8 and BD is y+5=10. Find x and y
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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.
∴∠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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