Question

In quadrilateral ABCD AB is parallel to CD and AD is parallel to BC prove that angleABC= angle ADC

Please answer it as fast as possible ​

Answer 1

Answer:

we know that in quadrilateral ABCD. AB||CD and BC||AD.so, quadrilateral ABCD is a parallelogram. when ABCD is a parallelogram then the opposite angle of parallelogram are equal.

hence,angle ADC=angle ABC are equal

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

prove:- AB||CD(given)

AD||BC(given)

Draw AC diagonal

∆ABC and ∆ADC

AD=BC (opposite side)

AB=CD (opposite side)

AC=AC( common side)

Therefore,

∆ABC congruence ∆ADC ( S.S.S)