Angle KLN is congruent to angle JNM because they are vertical angles and vertical angles are congruent. Set up am equation to make them equal to each other. 5x+2 = 3(x+14) Distribute 3 to the values in the parentheses 5x+2 = 3x+42 Subtract 3x from both sides 2x +2 = 42 Subtract 2 from both sides 2x = 40 Divide both sides by 2 X=20
Substitute 20 for x in the angle KLN 3(20+14) Simplify parenthesis 3(34) Multiply KLN =102 degrees