Question

prove that diagonals of parallelograme bisect the opposit angles

Answer 1

Prove:-
Let the angles of parallelogram be named asA, B,C, andD.
In triangle, ABD and triangle BCD
angleA=angleC(Oppo. angles of //gm)
AB=CD(Oppo. sides of //gm)
AD=BC(same reason)
Hence, triangle ABD congruent to triangle BCD
By CPCT,
angle ABD=angle CBD
and, angle ADB=angleCDB.
Hence proove...
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