Given parallelogram abcd prove < a and < b are supplementary.< b and < c are supplementary

1. Quadrilateral ABCD is a parallelogram     Given

2. AB||DC and AD||BC                         Opposite sides of a parallelogram are parallel.

3. <A and <B are same side interior angles   Definition of a parallelogram.

<B and < C  are same side interior angles

4) m <A + m<B = 180 degrees  Same side angles of a parallelogram are of 180°

m<B + m<C = 180 degrees.

5) <A and <B are supplementary

<B and <C are supplementary                  Definition of supplementary angles.

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