Question

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

Answer 1

Angle = 33

Explanation:

Angles should add up to 180 and the angles shown are 90 and 57 and then add those to get 147 then subtract 147 by 180 to get 33 for the angle. Hope this helps!

Answer 2

x = 33°

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

• 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°

Explanation:

Step 1: Define

Identify and set up

x° + 90° + 57° = 180°

Step 2: Solve for x

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