Question

HELPPPP !! Find the measure of angle LMN if the measure of angle LMP is 107 !!

Answer 1

m∠LMN = 29°

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

Explanation:

Step 1: Set up equation

m∠LMN and m∠NMP must add up to m∠LMP

(2x - 1)° + (5x + 3)° = 107°

Step 2: Solve for x

1. Combine like terms: 7x + 2 = 107
2. Isolate x term: 7x = 105
3. Isolate x: x = 15

Step 3: Find m∠LMN

1. Define: m∠LMN = (2x - 1)°
2. Substitute in x: m∠LMN = (2(15) - 1)°
3. Multiply: m∠LMN = (30 - 1)°
4. Subtract: m∠LMN = 29°