Question

which measures are accurate regarding triangle jkl? select two options.
law of sines: $\frac{sin(a)}{a}=\frac{sin(b)}{b}=\frac{sin(c)}{c}$
$mangle k = 94^{circ}$
$kapprox3.7$ units
$kapprox4.6$ units
$klapprox2.5$ units
$klapprox3.2$ units

Explanation:

Step1: Calculate angle K

Sum of angles in triangle: \( m\angle K = 180^\circ - 58^\circ - 38^\circ = 84^\circ \)

Step2: Apply Law of Sines for k

\( k = \frac{\sin(84^\circ) \times 2.3}{\sin(38^\circ)} \approx \frac{0.9945 \times 2.3}{0.6157} \approx 3.7 \)

Step3: Apply Law of Sines for KL

\( KL = \frac{\sin(58^\circ) \times 2.3}{\sin(38^\circ)} \approx \frac{0.8480 \times 2.3}{0.6157} \approx 3.2 \)

Answer:

B. k = 3.7 units, E. KL = 3.2 units