Question

Given parallelogram ABCD Prove <A and <B are supplementary.

<B and <C are supplementary

Answer 1

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.