Mathematics, 16.12.2021 01:40 lizzynmk
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
°.
Answers: 3
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