This uses deletion and container techniques - deletion removes letters from a word, while container puts one word inside another.
Take a word meaning 'angry' and remove its first letter ('start off'). Then take a word meaning 'swear' with its last letter removed ('endlessly') and put it inside the modified angry word.
Answer: EXCUSED | Take VEXED (angry) and remove the V (start off) = EXED. Take CUSS (swear) and remove the final S (endlessly) = CUS. Put CUS inside EXED = E-CUS-ED = EXCUSED.