CCGPS AG 1.10.1 Example 2

Use the parallelogram from Example 1 to verify that the opposite angles in a parallelogram are congruent and consecutive angles are supplementary given that and .

  1. Extend the lines in the parallelogram to show two pairs of intersecting lines and label the angles with numbers.
  2. Prove .
  3. Prove .
  4. Prove that consecutive angles of a parallelogram are supplementary.

– Walch Education, GeoGebra Materials Team