Respuesta :

Space

Answer:

m∠KNL = 102°

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS
  • Equality Properties

Geometry

  • Vertical Angles: angles that are opposite of each other congruent

Step-by-step explanation:

Step 1: Set up equation

5x + 2 = 3(x + 14)

Step 2: Solve for x

  1. Distribute 3:                              5x + 2 = 3x + 42
  2. Subtract 3x on both sides:       2x + 2 = 42
  3. Subtract 2 on both sides:        2x = 40
  4. Divide 2 on both sides:            x = 20

Step 3: Find m∠KNL

  1. Define:                    m∠KNL = 3(x + 14)°
  2. Substitute:              m∠KNL = 3(20 + 14)°
  3. Add:                        m∠KNL = 3(34)°
  4. Multiply:                  m∠KNL = 102°

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