Question

given: ∠ABD ≅ ∠BDE
prove: ∠CBD ≅ ∠CDB

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BD≅BD - Reflexive Property
why is ∠CBD ≅ ∠CDB?​

Answer 1

Answer:

See Explanation

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)