 In the second, "nang" describes that the person woke up ("gumising") early ("maaga"); "gumising nang maaga".In the third, "nang" described up to what extent that Juan improved ("gumaling"), which is "greatly" ("nang ").In the latter two examples, the ligature "na" and its variants "-ng" and "-g" may also be used ("Gumising na maaga/Maagang gumising"; "Gumaling na /Todong gumaling").