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kati45 [8]
4 years ago
8

Does anyone know the answer to this? If so can u please help me.

Mathematics
1 answer:
AlexFokin [52]4 years ago
4 0

Answer:

m\angle M = 90\degree\\m\angle L = 24\degree

Step-by-step explanation:

LM is tangent to the circle at point M and NM is radius.

\therefore NM\perp LM.. (radius \perp tangent) \\\huge\orange {\boxed {m\angle M = 90\degree}} \\

By interior angle sum postulate of a triangle, we have:

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}} \\

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