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Find the value of the variable and the measure of each labeled angle.

x=
(x+7)=
(5x-49)=

Find the value of the variable and the measure of each labeled angle. x= (x+7)= (5x-example-1

1 Answer

2 votes

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

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°
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