Hayes agreed to remove federal troops from the South in order to win the Presidency in the Election of 1876. This

got him impeached
started Reconstruction
made Southern Democrats angry
ended Reconstruction

None of the given statements are accurate regarding the consequences of Hayes' agreement to remove federal troops from the South in order to win the Presidency in the Election of 1876. Let's correct the statements:

1. Hayes did not get impeached due to his agreement. He faced intense political controversies and disputes during his presidency, but he was never impeached.

2. Reconstruction was already in its final stages by the time of the election of 1876. Hayes' agreement to remove federal troops did not start Reconstruction; it rather signaled the end of Reconstruction.

3. Southern Democrats were actually pleased with Hayes' agreement. As a result, Southern Democrats agreed to support Hayes and accept his presidency, which helped to effectively resolve the disputed election and prevent further tensions.

4. As mentioned earlier, Hayes' agreement ended Reconstruction, which was already in decline. It marked the withdrawal of federal troops from the South and effectively ended the era of Reconstruction.