Which statement is used to prove that angle abd is congruent to angle acd?

The required Statement is In a triangle angles opposite to equal sides are equal that is ∠ACD ≅ ∠ABD

Step-by-step explanation:

Given: AC = AB

We have to given a statement which prove that ∠ACD congruent to ∠ABD.

Consider, ΔABC

AC = AB   (given)

We use the result which says that

In a triangle angles opposite to equal sides are equal.

⇒ ∠ACB = ∠ABC   or ∠ACD ≅ ∠ABD

Therefore, The required Statement is In a triangle angles opposite to equal sides are equal that is ∠ACD ≅ ∠ABD

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