Question

2. Find the measure of angle L.

Answer 1

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 )