Question

Use the diagram to find the measures of each angle. Explain your reasoning 1. m/_ABC 2. m/_ebd 3. m/_ABE

Answer 1

Answer:Since BD is the angle bisector of ∠ ABC,

∠ ABD = ∠ CBD --- (1)

Now, in triangles Δ ABD and Δ CBD,

BD = BD (common side)

∠ ABD = ∠ CBD from (1)

AB = BC (Given)

Hence, Δ ABD ≅ Δ CBD (SAS Rule).

Explanation: