Question

Find the value of x (in this picture)​

Answer 1

x° = 76 °

Explanation:

We know that sum of interior angles of triangle is 180 °.

74 ° + 30 ° + x° = 180 °

combine like terms

104 ° + x° = 180 °

subtract each side by 104°

x° + 104 ° - 104 ° = 180 ° - 104 °

x° = 76 °

Answer 2

x = 76°

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

30° + 74° + x = 180°

Step 2: Solve for x

1. Add: 104° + x = 180°
2. [Subtraction Property of Equality] Subtract 104° on both sides: x = 76°