Respuesta :

Space

Answer:

21°

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

Geometry

  • Vertical Angles - Angles that are directly opposite of each other are congruent

Step-by-step explanation:

Step 1: Set Up Equation

(x + 7)° = (5x - 49)°

Step 2: Solve for x

  1. Subtract x on both sides:                   7 = 4x - 49
  2. Add 49 on both sides:                        56 = 4x
  3. Divide 4 on both sides:                      14 = x
  4. Rewrite:                                               x = 14

Step 3: Find angle measure

  1. Define:                    (x + 7)°
  2. Substitute in x:       (14 + 7)°
  3. Add:                        21°