Question

Solve for x (geometry)

Answer 1

x = -6°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

1. Parenthesis
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Geometry

• All angles in a triangle add up to 180°

Explanation:

Step 1: Define

Identify and set up

x + 81 + 65° + 40° = 180°

Step 2: Solve for x

1. [Addition] Combine like terms: x + 186° = 180°
2. [Subtraction Property of Equality] Subtract 186° on both sides: x = -6°