Question

Solve for the value of m.
38°
(8m+4)°

Answer 1

m = 6

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

Algebra I

• Equality Properties
• Combining Like Terms

Geometry

• Complementary Angles - Angles that add up to 90°

Explanation:

Step 1: Set Up Equation

The 2 angles must add up to 90°.

(8m + 4)° + 38° = 90°

Step 2: Solve for m

1. Combine like terms: 8m + 42 = 90
2. Isolate m term: 8m = 48
3. Isolate m: m = 6