Math, asked by monikr050820009546, 1 year ago

prove that in parallel gram opposite angle are equal​

Answers

Answered by choudharigandharv
0

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. .....

Read more on Brainly.in - https://brainly.in/question/2814721#readmore

Answered by meghananani
0

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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