What is the measure of ∠x?

Answer:
114 degrees
Step-by-step explanation:
Hi there.
Line segment LN is a straight line, meaning that it contains a straight angle (an angle measuring 180 degrees).
We know that if this is a straight angle, that [tex]x+66=180[/tex].
Therefore, m∠x = 114 degrees.
Hope this helps! :^)