Question

in the given figure, angle BAD= 30°, AC = AE , AB = AD. Show that side BC=DE, if angle EAC= 30°. ​

Answer 1

Step-by-step explanation:

BAD+∠DAC=∠EAC+∠DAC [add ∠DAC on both sides]

∴∠BAC=∠DAE

In △BAC and △DAE

AB=AD (Given)

∠BAC=∠DAE (Proved above)

AC=AE (Given)

∴△BAC≅△DAE (By SAS congruence rule)

∴BC=DE

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