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Lynna [10]
2 years ago
14

2. Find the measure of angle L.

Mathematics
1 answer:
BabaBlast [244]2 years ago
4 0

Answer:

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

\frac{MN}{sinL} = \frac{LM}{sinN} , that is

\frac{34}{sinL} = \frac{42}{sin27} ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = \frac{34sin27}{42} , then

∠ L = sin^{-1} ( \frac{34sin27}{42} ) ≈ 21.6° ( to the nearest tenth )

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