We have proven that ∠D ≅ ∠A as shown below
Proof of angles
From the question, we are to complete the proof
Statements Reasons
AB ≅ DB 1. Given
1. EB ≅ CB
2. ∠ ABC ≅ ∠DBE 2. Congruent postulate
3. ΔABC ~ ΔDBE 3. Side-angle-side postulate
4. ∠D ≅ ∠A 4. CPCTC (Corresponding parts of
congruent triangles are congruent.)
Hence, we have proven that ∠D ≅ ∠A
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