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24-08-2022
Mathematics

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

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omusabb omusabb

24-08-2022

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).

Step-by-step explanation:

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