Answer:
16.1 Inches
Explanation:
In ΔKLM,
∠K+∠L+∠M=180°
∠K+161°+18°=180°
∠K+179°=180°
∠K=180°-179°=1°
To determine k in the diagram, we use the Law of Sines.
[Tex]\frac{k}{Sin K}=\frac{l}{Sin L}[/tex]
[Tex]\frac{k}{Sin 1}=\frac{300}{Sin 161}[/tex]
k X Sin 161°=300 X sin 1°
k=(300 X sin 1°)÷sin 161°
k=16.1 inches (correct to the nearest tenth of an inch)