Respuesta :

Space

Answer:

m∠LMN = 29°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Set up equation

m∠LMN and m∠NMP must add up to m∠LMP

(2x - 1)° + (5x + 3)° = 107°

Step 2: Solve for x

  1. Combine like terms:                    7x + 2 = 107
  2. Isolate x term:                              7x = 105
  3. Isolate x:                                       x = 15

Step 3: Find m∠LMN

  1. Define:                    m∠LMN = (2x - 1)°
  2. Substitute in x:       m∠LMN = (2(15) - 1)°
  3. Multiply:                  m∠LMN = (30 - 1)°
  4. Subtract:                 m∠LMN = 29°

Otras preguntas