With intersecting lines, the angles opposite the intersection (across the "X") are called vertical angles, and they are identical. Therefore JNK = MNL and KNL = JNM. So set KNL = JNM: 3(x+14) = 5x+2 3x+42 = 5x+2 3x+42 -42 = 5x+2 -42 3x = 5x -40 3x -5x = 5x-5x -40 -2x = -40 -2x/-2 = -40/-2 x = 20 Now plug that into x for KNL: KNL = 3(x+14) = 3(20+14) = 3(34) = 102°
