Illogical Verse of the Quran?

Recently, someone published a video identifying a verse from the Quran that he claims is illogical. The verse is 43:45, and the individual claims there are two problems with this verse.

43:45 Check the messengers we sent before you: “Have we ever appointed any other gods—beside the Most Gracious—to be worshiped?”

وَسْـَٔلْ مَنْ أَرْسَلْنَا مِن قَبْلِكَ مِن رُّسُلِنَآ أَجَعَلْنَا مِن دُونِ ٱلرَّحْمَـٰنِ ءَالِهَةً يُعْبَدُونَ

The first problem he states is that this verse is illogical because it doesn’t make sense for Muhammad to have to ask others if there are other gods to be worshiped besides the Most Gracious. He claims that since the Quran is clear that only God should be worshiped, he was perplexed as to why would such a question be posed to the messenger. Then he brings up the following verse to confirm his point.

2:255  GOD: there is no other god besides Him, the Living, the Eternal. Never a moment of unawareness or slumber overtakes Him. To Him belongs everything in the heavens and everything on earth. Who could intercede with Him, except in accordance with His will? He knows their past, and their future. No one attains any knowledge, except as He wills. His dominion encompasses the heavens and the earth, and ruling them never burdens Him. He is the Most High, the Great.