Question

Please solve the ticked sum ASAP.

Answer 1

Answer:

In triangles EDA & BAC

ED=AC (Given)

DA=AB (Given)

angle EAD = angle BAC (vertically opposite angle)

thus, triangle EDA is congruent to triangle BAC

Now, angle DEA = angle ABC(alternate angles)

=> DE||BC

Answer 2

Answer:

in ️ABC and ️ADC

AB=AD ( given)

AC=AE ( given )

ANGLE BAC= ANGLE DAE ( vertically opp. angles)

therfore , ️ABC CONGRUENT TO ️ADC

BY CPCT,

ANGLE ABC = ANGLE ADC

WHICH ARE A PAIR OF ALTERNATE INTERIOR ANGLE

THEREFORE, DE|| BC