Question

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

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

Answer 1

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°