in a triangle abc ab =ac,ba is produced to d and ae is drawn parallel to bc ,prove that ae bisects angle dac


Given ABC, AB=ACAEBC3=2  ...1  alternate interior anglesNow, 3+4=1+2  exterior angle property2+4=1+2   using 14=1   ...2But 1=2   angles opposite to equal sides AB=AC are equal.1=2=3   using 11=3  ...3From 2 and 3, we get3=4AE bisects DAC

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