Question

2. Find the measure of angle L.

Answer 1

∠ L ≈ 21.6°

Explanation:

Using the Sine rule in the triangle

`(MN)/(sinL)` =
`(LM)/(sinN)` , that is

`(34)/(sinL)` =
`(42)/(sin27)` ( cross- multiply )

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

sinL =
`(34sin27)/(42)` , then

∠ L =
`sin^(-1)` (
`(34sin27)/(42)` ) ≈ 21.6° ( to the nearest tenth )