The following are necessary when proving that the opposite angles of a parallelogram are congruent:
B. Angle Addition Postulate.
D. Corresponding parts of congruent triangles are congruent.
Meaning of a parallelogram
The word parallelogram is a greek word meaning parallel lines
A parallelogram is a quadilateral (that is, it has four sides) whose two opposite sides are parallel (that is side AB and DC are parallel and side AD and BC are parallel).
One of its properties is that the opposite angles are congruent (they form two triangle which parts are equal)
Due to the diagonal that runs from one end to the other, Angle addition postulate (That is the total sum of angle is equal to the addition of the bisected angle individually)
In conclusion: The points highlighted above are necessary when proving that the opposite angles of a parallelogram are congruent
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