The two observations of cosmic microwave background radiation that support the Big Bang theory are:
B. Cosmic microwave background radiation exists in all areas of the observable universe.
This observation supports the idea that the early universe was hot and dense, leading to the uniform distribution of this radiation across the cosmos.
E. Cosmic microwave background radiation has a relatively consistent temperature throughout the observable universe.
This consistency in temperature aligns with the predictions of the Big Bang theory that the universe cooled as it expanded, but should still retain a remnant temperature that is approximately uniform due to its early states.
Therefore, the correct answers are B and E.