Was the earth quake that occured at 17 n latitude and 121 e longitude at a depth of 124 occur at a divergent, convergent, or transform plate boundary or was it not near a plate boundary

The correct answer is - convergent.

The place in question is in the northern part of the Philippines. Here we have a convergent plate boundary between the Eurasian tectonic plate and the Pacific tectonic plate. Because the Eurasian plate is a continental one, and the Pacific plate is an ocean one, the softer Pacific plate is subducting bellow the harder Eurasian plate where they collide, thus contributing to constant geologic activities in the region, including earthquakes, and volcanic activity.

the mediterranean sea