The other day, you make a thoughtless remark about the women's rights movement. the comments seemed to be made , as if on a whim, so you decided to set the record straight

The correct answers are Inane and Arbitrarily.

These two answers fit the blank spaces that were indicated in the sentence.
Inane literally means being foolish, absurd, senseless, etc. The first blank space probably fits this word because it says that you made a thoughtless remark. With the word inane, the sentence can be understood as being insulted or was made as a laughing stock.

Iprobably use google

So you know what happened and so it doesn’t repeat it’s self