Hybridization of lone pairs

[RiaCasas2L]

How do you determine the hybridization of lone pair electrons? Problems 2.45 and 2.57 in the textbook both deal with this and I don't understand how you can tell the hybridization of lone pairs.

[Ariel Lucas 1H]

Hi! I attached my drawing below because it's easier to show that way. Everytime you see a lone pair it counts as a region of e- density (but not a bond). So for example in question 2.45 there is a double bond on the Oxygen and two lone pairs. The oxygen atom would have a hybridization of sp^2 because we count three regions of electron density. The double bond counts as one, 1 lone pair, and another lone pair giving us three total regions. In question 2.57, Nitrogen has a triple bond and 1 lone pair giving us two regions of e-density, which is sp hybridization.