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

21°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

Subtract x on both sides:                   7 = 4x - 49Add 49 on both sides:                        56 = 4xDivide 4 on both sides:                      14 = xRewrite:                                               x = 14

Step 3: Find angle measure

Define:                    (x + 7)°Substitute in x:       (14 + 7)°Add:                        21°

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