Task 1280

The task

Shown below is a clock face with no hands. What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock? [asy] /* AMC8 1999 #2 Problem*/ draw(circle((0,0),10),linewidth(1)); /* Hands draw((25,0)--8dir(-18)+(25,0),linewidth(2)); draw((25,0)--5dir(111)+(25,0),linewidth(2)); draw((25,0)--10dir(90)+(25,0),linewidth(.5)); */ dot((0,0)); label("1",8dir(60)); label("2",8dir(30)); label("3",8dir(0)); label("4",8dir(-30)); label("5",8dir(-60)); label("6",8dir(-90)); label("7",8dir(-120)); label("8",8dir(-150)); label("9",8dir(180)); label("10",8dir(150)); label("11",8dir(120)); label("12",8dir(90)); for(int i = 1; i< 13; ++i) { draw(9dir(30i)--10dir(30i)); } [/asy]