Points L and M lie on a circle centered at \(O,\) \(LM\) and arc LM is \(75^\circ.\) The circle passing through points O, L, and M is drawn. Find the measure of arc \(LOM\) on the smaller circle, in degrees.
Note that LOM will be an inscribed angle in the smaller circle
Since its measure = 75°....the minor arc LM in the smaller circle will measure twice this = 150°
So....arc LOM in the smaller circle = 360 - 150 = 210°
thx so much!!!
+20 
