Points L and M lie on a circle centered at O, and the measure of arc LM on this circle is 72 degrees. The circle passing through points O, L, and M is drawn. Find the measure of arc LPM on the larger circle, in degrees.
arc LPM on the larger circle = 360 - 72 = 288°
arc LOM on the smaller circle = 360 - 2 (72) = 360 - 144 = 216°