Question

what is the measure of ∠n to the nearest whole degree?
35°
45°
55°
65°
law of cosines: a² = b² + c² - 2bccos(a)

Explanation:

Step1: Identify sides for ∠N

Adjacent: LN=4, Hypotenuse: MN=7

Step2: Apply cosine ratio

cos(N) = adjacent/hypotenuse = 4/7 ≈ 0.5714

Step3: Calculate ∠N

∠N = arccos(0.5714) ≈ 55°

Answer:

C. 55°