Question

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

Answer 1

7

Explanation:

The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.

Answer 2

x = 7

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

33° + 90° + (7x + 8)° = 180°

Step 2: Solve for x

1. Combine like terms: 7x + 131 = 180
2. Isolate x term: 7x = 49
3. Isolate x: x = 7