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Step-by-step explanation:
In ∆ ABC,
AB = AC,
therefore, < ABC = < ACB ______ EQUATION 1
and,
in ∆ DBC,
DB = DC
therefore, < DBC = < DCB ______ EQUATION 2
Adding EQUATION 1 and EQUATION 2,
< ABC + < DBC = < ACB + < DCB
Now, < ABC + < DBC = < ABD
and, < ACB + < DCB = < ACD
so, from above,
< ABD = < ACD
Hence proved....
Answered by
1
Answer:
triangle abc is isosceles i.e. ab=ac
thus angle abc =angle acb (angles opp. to equal side are equal)....(1)
also triangle dbc is isosceles i.e. db=dc
thus angle dbc=angle dcb (angles opp. to equal side are equal).....(2)
hence adding (1) and (2) we get angle abd=angle acd
hence proved
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