AJKL has j = 7, k = 11, and mZJ = 18º. Complete the statements to determine all possible measures of angle K.
Triangle JKL meets the
criteria, which means it is the ambiguous case.
Substitute the known values into the law of sines: sin(189)
= sin(K)
7
11
Cross multiply: 11sin(18°=
Solve for the measure of angle K, and use a calculator to determine the value.
Round to the nearest degree: m2K
However, because this is the ambiguous case, the measure of angle K could also be