ΔJKL has j = 7, k = 11, and m∠J = 18°. Complete the statements to determine all possible measures of angle K. Triangle JKL meets the
✔ SSA
criteria, which means it is the ambiguous case.

Substitute the known values into the law of sines: StartFraction sine (18 degrees) Over 7 EndFraction = StartFraction sine (uppercase K) Over 11 EndFraction.

Cross multiply: 11sin(18°) =
✔ 7sin(K)
.

Solve for the measure of angle K, and use a calculator to determine the value.

Round to the nearest degree: m∠K ≈
✔ 29
°.

However, because this is the ambiguous case, the measure of angle K could also be
✔ 151
°.