Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answer 1

x = 25

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

• All angles in a triangle add up to 180°

Explanation:

Step 1: Set Up Equation

29° + (4x + 9)° + (x + 17)° = 180°

Step 2: Solve for x

1. Combine like terms: 5x + 55 = 180
2. Isolate x term: 5x = 125
3. Isolate x: x = 25