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Can someone help me find the measure of angle L?

Can someone help me find the measure of angle L?-example-1
User IFlo
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1 Answer

7 votes

Answer:

21.6°

Explanation:

remember the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides, and A, B, C being the corresponding opposite angles.

so,

42/sin(27) = 34/sin(L)

sin(L)×42/sin(27) = 34

sin(L)×42 = sin(27)×34

sin(L) = sin(27) × 34/42 = sin(27) × 17/21 =

= 0.367516119...

angle L = 21.56251123...° ≈ 21.6°

User Squgeim
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7.6k points

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