Do the angels see God in this world or not?

Angels do not see Allah in this worldly life because Allah is veiled from His creation by the light of His might and majesty. If the veil were lifted, everything would be incinerated. This is what is indicated by the hadith: "His veil is light; if He were to remove it, the effulgence of His Face would burn everything His sight reaches of His creation." As for the Hereafter, the preponderant opinion is that angels will see Allah in Paradise.