Answer:
LN = 15 in
Step-by-step explanation:
We can say that arc PL plus arc LM is equal to arc PM:
arcPL + arcLM = arcPM
We can substitute what we have:
10 + 14 = arcPM
arcPM = 24.
Since both arcPM and arcLN equal 24, we can say they are congruent.
In circles, congruent arcs create congruent chords, so, we can say PM = LN.
Since PM is 15, LN = 15 in
