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°