The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
An angle exists the figure formed by two rays, named the sides of the angle, sharing a common endpoint, named the vertex of the angle. Angles formed by two rays lie in the plane that includes the rays. Angles exist also formed by the intersection of two planes. These exist named dihedral angles.
The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
we know that
Applying the law of sines
[tex]$\frac{k}{\sin K}=\frac{j}{\sin J}$[/tex]
[tex]$\frac{11}{\sin K}=\frac{7}{\sin 18}$[/tex]
[tex]$11 * \sin 18=7 * \sin K$[/tex]
[tex]$\sin K=\frac{11}{7} * \sin 18$[/tex]
[tex]$\sin K=0.4856$[/tex]
[tex]$K=\arcsin (0.4856)$[/tex]
[tex]$K=29^{\circ}$[/tex]
so
∠J=18°
∠K=29°
∠L=180-(18+29)=133°
The answer Part a) exists
The measure of angle K exist ≈29°
Part b) the measure of angle K could also be
(180-29)=151°
so
∠J=18°
∠K=151°
∠L=180-(18+151)=11°
The answer Part b) is
The measure of angle K could also be 151°
To learn more about law of sines refer to:
https://brainly.com/question/10558884
#SPJ2
