Question

In the given figure, AB = AC = DC. Prove that ∠ABD = ∠ACD
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Answer 1

Step-by-step explanation:

AB=AC

⇒∠ABC=∠ACB __(i)

In ΔBDC

BD=DC

⇒∠DBC=∠DCB __(ii)

(i) - (ii)

∠ABC−∠DBC=∠ACB−∠DCB

∠ABD=∠ACD