Answer:
[tex] m\angle M = 90\degree\\
m\angle L = 24\degree[/tex]
Step-by-step explanation:
LM is tangent to the circle at point M and NM is radius.
[tex] \therefore NM\perp LM.. (radius \perp tangent) \\
\huge\orange {\boxed {m\angle M = 90\degree}} \\[/tex]
By interior angle sum postulate of a triangle, we have:
[tex] m\angle L + m\angle M + m\angle N = 180\degree \\
m\angle L + 90\degree + 66\degree = 180\degree \\
m\angle L + 156\degree = 180\degree \\
m\angle L = 180\degree - 156\degree \\
\huge\red {\boxed {m\angle L = 24\degree}} \\[/tex]
