Question

in figure, AC=BC, Angle DCA= angle ECB angle and angle DBC= angle EAC prove triangle DBC and EAC are congruent and hence DC =EC and BA=AE​

Answer 1

Step-by-step explanation:

Given,

In traingle DBC and traingle EAC

angle DCA=angle ECB (Given)

AC=BC (Given)

angle DBC = angle EAC (Given)

Therefore, traingle DBC is congruent to traingle EAC (by ASA Congruncy)

DC=EC and BA=AE [by cpct]