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Maslowich
3 years ago
13

Find the value of the variable and the measure of each labeled angle. x= (x+7)= (5x-49)=

Mathematics
1 answer:
masya89 [10]3 years ago
7 0

Answer:

21°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

<u>Geometry</u>

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

Step-by-step explanation:

<u>Step 1: Set Up Equation</u>

(x + 7)° = (5x - 49)°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract <em>x</em> 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

<u>Step 3: Find angle measure</u>

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