Lot took his responsibility seriously to protect his guests and after Lot’s words did not work to convince the sex crazed men to leave, then he offered his daughters to the mob. As to why Lot offered the virginity of his daughters to the men outside his house, one could reason the following way: these were females who were engaged to two men of the city. So that offer could have had the effect of distracting or dividing the perverted mob. Furthermore, although Lot had at first entertained angels unawares, by now he well may have realized these to be messengers from God. (Heb. 13:2) Hence, Lot could have felt that, as deeply attached to his daughters as he was, he would be willing to sacrifice them if necessary. (Compare Genesis 22:1-14; 2 Samuel 12:3.). Also, Lot may have realized that these homosexual men were much more interested in male sexual contact than in female sexual contact. In offering his daughters to the mob, Lot could have been confident that, if it was God’s will, God would protect his daughters even as God had already protected Sarah in Egypt. (Gen. 12:17-19)