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 = 360º - 72º
Let me turn this not-so-smart question into an interesting one:
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 LOM on the larger circle, in degrees.