Answer :
Some absolute monarchs have been willing to consider enlightenment ideas mainly because many of the ideas, like the many kinds of liberties, made sense for their regimes. But this also didn't fit with the beliefs of other kings. Think about Hobbes' leadership. He supported absolute monarchy.
Some absolute monarchs considered the secularization of the Enlightenment as a challenge to their reign because they were so strongly connected to the religious sense of their right to govern. The majority of monarchs embraced the Enlightenment and based their new monarchy on these new principles while maintaining their power.
Religious freedom and some relaxation of rigid norms were also gifts of the Enlightenment.
Thus several kings viewed enlightenment as the ideal idea since it supports liberty.
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