The measures of the angles of a triangle are shown in the figure below. Solve for x.
57°

x = 33°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

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

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

Identify and set up

x° + 90° + 57° = 180°

Step 2: Solve for x

[Addition] Combine like terms:                                                                        x° + 147° = 180°[Subtraction Property of Equality] Subtract 147 on both sides:                     x° = 33°

The answer is 6 weeks