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2. Find the measure of angle L.
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2. Find the measure of angle L.

2. Find the measure of angle L.-example-1
User Fthomson
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1 Answer

19 votes
19 votes

Answer:

∠ 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 )

User Mneri
by
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