Answer:
A) m∠K = 84°
C) k ≈ 3.7 units
F) KL ≈ 3.2 units
Step-by-step explanation:
This question is incomplete ; please find the complete question in the attachment.
From the given triangle JKL,
m∠K + m∠L + m∠J = 180°
58 + 38 + m∠K = 180
m∠K = 180 - (96) = 84°
[tex]\frac{Sin58}{KL}=\frac{Sin38}{2.3}=\frac{Sin84}{k}[/tex]
[tex]KL=\frac{2.3\times Sin58}{Sin38}[/tex]
KL = 3.17 ≈ 3.2 units
[tex]\frac{Sin38}{2.3}=\frac{Sin84}{k}[/tex]
k = [tex]\frac{2.3Sin84}{sin38}[/tex]
k = 3.71 ≈ 3.7 units
Therefore, answer is Options A) m∠K = 84°
C) k ≈ 3.7 units
F) KL ≈ 3.2 units