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Answer :

Answer:

540°

General Formulas and Concepts:

Math

  • Counting

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Geometry

  • Sum of Angles: 180(n - 2)°

Step-by-step explanation:

Step 1: Define

We are given a 5-sided polygon (irregular pentagon)

n = 5

Step 2: Find Sum

  1. Substitute in n [Sum of Angles]:                                                                    180(5 - 2)°
  2. (Parenthesis) Subtract:                                                                                   180(3)°
  3. Multiply:                                                                                                           540°

Answer: 540

Step-by-step explanation:

[tex]{(n - 2) * 180}[/tex]

This is the formula for the sum of interior angles with side lengths n. Counting the sides we have 5 sides.

(5 - 2) * 180 = 540