Answer:
JK = 10.524
LK = 21.065
Step-by-step explanation:
all angles in a triangle add up to 180, so angle K = 42.
law of sines states that [tex]\frac{A}{sin(a)} =\frac{B}{sin(b)} = \frac{C}{sin(c)}[/tex], where capital letters are side lengths and lower case letters are the angles opposite their corresponding capital letter sides.
in this case:
[tex]\frac{15}{sin(42)} = \frac{JK}{sin(28)}[/tex] -----> JK = [tex]\frac{15sin(28)}{sin(42)}[/tex] = 10.524
and
[tex]\frac{15}{sin(42)} = \frac{LK}{sin(110)}[/tex] -----> LK = [tex]\frac{15sin(110)}{sin(42)}[/tex] = 21.065
