Step 1 :Use the Law of Sines: \(\frac{d}{\sin(D)} = \frac{f}{\sin(F)}\)
Step 2 :Plug in the given values: \(\sin(D) = \frac{6.9 \times \sin(44)}{5}\)
Step 3 :Calculate the sine of angle D: \(\sin(D) \approx 0.9586\)
Step 4 :Find angle D using arcsine: \(D \approx 74.0°\) and \(D \approx 106.0°\)
Step 5 :\(\boxed{\text{Final Answer: Angle D has two possible values: approximately 74.0° and 106.0°}}\)