In the given figure ,abcd is quadrilateral in which ab' parllel dc and ad parallel bc prove that angle adc=abc.
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From the given Figure you can understand easily
Since AB and CD are parallel∠BAC=ACD (interior angles)
Also since BC and AD are parallel ∠DAC=∠BCA
also AC=CA
By ASA congruency tri.ABC and tri.ADC are congruent means all cooresponding angles and sides are equal.
So,∠ADC=∠ABC.
Since AB and CD are parallel∠BAC=ACD (interior angles)
Also since BC and AD are parallel ∠DAC=∠BCA
also AC=CA
By ASA congruency tri.ABC and tri.ADC are congruent means all cooresponding angles and sides are equal.
So,∠ADC=∠ABC.
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