Answering questions is a form of impromptu, extemporaneous, or “off the cuff” speaking that is an important skill. Every meeting of Toastmasters International has a portion devoted to Table Topics. I find Table Topics much more difficult than doing a prepared speech. The one to two minute period for answering the question feels like forever to me! Here are some articles about tactics and strategies.
An impromptu speech is like a jazz solo it takes thought and lots of practice to do it well.
George Torok discusses Triumphant Table Topics.
Dave Wheeler describes some Table Topics Strategies – Use your head to speak on your feet
The most provocative article title clearly is: Lie, cheat and steal your way to Table Topics success - from District 59 in the Netherlands.