in the given figure ,the ratio ^ABD:^ ACD is
(b) 2:1
(a) 1:1
(c) 1:2
(d) 2:3
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In △ABC , AB=AC
⇒∠ABC=∠ACB (Angles opposite to equal sides of triangle are equal)
Let ∠ABC=∠ACB=x
In △BDC , AB=AC
⇒∠DBC=∠DCB (Angles opposite to equal sides of triangle are equal)
Let ∠DBC=∠DCB=y
Now ∠ABD=∠ABC−∠DBC
⇒∠ABD=x−y.......(i)
Also ∠ACD=∠ACB−∠DCB
⇒∠ACD=x−y........(ii)
Dividing (i) by (ii)
⇒∠ABD:∠ACD=1:1
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