Consecutive angles of a parallelogram are supplementary. D Given: Quadrilateral ABCD is a parallelogram. Prove: LA is supplementary to ZB; ZB is supplementary to ZC ZC is supplementary to ZD; ZD is supplementary to ZA Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. AB || CD; AD || CB 2. 3. LA is supplementary to ZB; ZB is supplementary to ZC; ZC is supplementary to ZD3; ZD is supplementary to ZA 3. Diagonals of a parallelogram bisect each orher

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