A diagonal of a parallelogram bisects one of its angle. Prove that it will bisect its opposite angle also.

Question

TextOpposite Angles of Parallelogram are EqualNCERT Exemplar

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In fig ABCD is a parallelogram. If ∠DAB = 60° and ∠DBC = 80° then ∠CDB is

In Fig.8.2, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F.

Opposite Angles of Parallelogram are Equal

In Fig.8.4, AX and CY are respectively the bisectors of the opposite angles A and C of a parallelogram ABCD. Show that AX || CY.