Question

Prove that the bisectors of opposite angles of a parallelogram are parallel to each other

Answer 1

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Answer 2

ABCD is parallelogram..............given 

DE bisect < D, BF bisect < B..................given 

<D = <B....................opposite angles of parallelogram are equal 

<1 = <2 ................equal angle bisect still equal 

<A = <C ....................opposite angles of parallelogram are equal 

AD = BC ......................opposite sides of parallelogram are equal 

ΔADE ≅ ΔCBF...................ASA 

DE = BF..................CPCT