in the given figure, ABCD is a quadrilateral and AC is a diagonal.prove that triangle ABC is congruent to triangle CDA. Is AB is parallel to CD
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Step-by-step explanation:Given that,
ABCD is a quadrilateral,
AB=CD=6.8 cm
Angle BAC=Angle DAC=35
We know that, If alternate interior angles are equal, lines are parallel
=> AB II CD
From the given data, we can conclude that ,
=> ABCD is a parallelogram.
In a parallelogram,
A diagonal divides the parallelogram into two congruent triangles.
=> Triangle ABC is congruent to Triangle ADC.
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