Question

Can someone help me figure out what is JK and LK

Answer 1

JK = 10.524

LK = 21.065

Explanation:

all angles in a triangle add up to 180, so angle K = 42.

law of sines states that
`(A)/(sin(a)) =(B)/(sin(b)) = (C)/(sin(c))`, where capital letters are side lengths and lower case letters are the angles opposite their corresponding capital letter sides.

in this case:

`(15)/(sin(42)) = (JK)/(sin(28))` -----> JK =
`(15sin(28))/(sin(42))` = 10.524

and

`(15)/(sin(42)) = (LK)/(sin(110))` -----> LK =
`(15sin(110))/(sin(42))` = 21.065