chengyumi2005
chengyumi2005 chengyumi2005
  • 18-07-2022
  • Mathematics
contestada

give: ∠BDE ≅ ∠CDE and BD ≅ CD.
Prove ∠ABD ≅ ∠ACD

give BDE CDE and BD CD Prove ABD ACD class=

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Medunno13
Medunno13 Medunno13
  • 18-07-2022

3) [tex]\angle ADB[/tex] and [tex]\angle BDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)

4) [tex]\angle ADC[/tex] and [tex]\angle CDE[/tex] are supplementary (if two angles form a linear pair, they are supplementary)

5) [tex]\angle ADB \cong \angle ADC[/tex] (supplements of congruent angles are congruent)

6) [tex]\triangle ADB \cong \triangle ADC[/tex] (SAS)

7) [tex]\angle ABD \cong \angle ACD[/tex] (CPCTC)

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