In ΔLMN, l = 35 inches, m = 67 inches and n=91 inches. Find the measure of ∠N to the nearest degree.

Obtuse scalene triangle. Sides: l= 35 m = 67 n = 91

Use the Law of Cosines to find all 3 angles

Angle ∠ L = 18.777° = 18°46'38″ = 0.328 rad Angle ∠ M = 38.038° = 38°2'18″ = 0.664 rad Angle ∠ N = 123.184° = 123°11'4″ = 2.15 rad