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

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

Answer:

m∠LMN = 29°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step 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

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

Step 3: Find m∠LMN

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

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