At what angle does sunlight strike the equator? The poles?
It depends of the time of the year.
During the equinoxes the Sunlight subtends an angle of 90º (i.e is right above our heads), with the equator and 0º with the poles.
During the solstices, the sunlight subtends an angle of 90º with the one tropic (capricorn/cancer), 67º with the equator 44º with the other tropic (cancer/capricorn) and 23º with one of the poles(south) and is not visible in the other (north). In other times of the year, we have intermediate angles.