prove that in parallel gram opposite angle are equal
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Answer:
Step-by-step explanation:
In angle ABC and CDA,we have:
AB =CD ( given )
BC = AD (given )
AC = CA ( common )
angle ABC congruence angle CAD
angle BAC = angle DCA
But , these are alternate interior angles.
AB parallel DC.
Similarly, AD parallel BC .
Hence, ABCD is a parallelogram.....
Hope ....you understand. .....
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In a parallelogram,opposite angles are equal. Conversely, if the opposite angles in a quadrilateral are equal, then it is a parallelogram. Thus, the two angels are congruent, which means that angle B =angle D......... This proves that opposite angles in any parallelogram are equal
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