Translation of "Polegał" in English

Sukces rodziców polegał na tym, że udało się go uspokoić.

The parents succeeded in calming him down.

Plan polegał na tym, by udać, że przywieziono do Urugwaju z Buenos Aires kogoś, kto tam zmarł,

It was a scheme in which we pretended that someone who had died in Buenos Aires was brought to Uruguay,