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 criteria, which means it is the ambiguous case. substitute the known values into the law of sines: . cross multiply: 11sin(18°) = . solve for the measure of angle k, and use a calculator to determine the value. round to the nearest degree: m∠k ≈ °. however, because this is the ambiguous case, the measure of angle k could also be °.

We know that
Applying the law of sines




°

so
∠J=18°
∠K=29°
∠L=180-(18+29)=133°

the answer Part a) is
the measure of angle K is ≈29°

Part b) the measure of angle K could also be
(180-29)=151°
so
∠J=18°
∠K=151°
∠L=180-(18+151)=11°

the answer Part b) is
the measure of angle K could also be 151°

K = 29°

The triangle is ΔJKL. Therefore,

m∠J = 18°

m ∠ K = ?

j = 7

k = 11

To find m ∠ K we can use sine rule, Therefore,

j / sin 18° = k / sin K

7 / sin 18°  = 11 / sin K

cross multiply

7 sin k  = 11 sin 18°

sin K = 3.39918693812  / 7

sin K = 0.48559813401

K = sin ⁻¹ 0.48559813401

K = 29.0516591712

K ≈ 29°

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n = 5a-6 / a-b

Step-by-step explanation: Move all of your terms to the left side of the equation and then set the equal to 0. Then, set each of your factors equal to 0, as well.

I hope this helps you out.