In the figure, triangle ABC and triangle DBC are on the same base BC. If AB=AC and BD=CD, then prove that angle ABD=angle ACD.
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Hello mate ☺
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AB=AC (Given)
It means that ∠ABC=∠ACB (In triangle, angles opposite to equal sides are equal) .....(1)
BD=DC (Given)
It means that ∠DBC=∠DCB (In triangle, angles opposite to equal sides are equal) ......(2)
Adding (1) and (2), we get
∠ABC+ ∠DBC=∠ACB+∠DCB
⇒∠ABD=∠ACD
I hope, this will help you.☺
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