the given figure ab=bc and ac=cd if angle bad=y and angle adb=x then angle y=
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Step-by-step explanation:Let ∠ADB=x
In △ACD,AC=CD
⇒∠CAD=∠CDA=x
and, ∠ACB=∠CAD+∠CDA=x+x=2x
⇒∠BAC=∠ACB=2x.(∵ In ABC,AB=BC)
∴∠BAD=∠BAC+∠CAD
=2x+x=3x
And,
∠ADB
∠BAD
=
x
3x
=
1
3
i.e., ∠BAD:∠ADB=3:1 [henceproved]
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