Respuesta :

Space

Answer:

m∠1 = 37°

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Geometry

  • Definition of a Line: A line is 180°
  • All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

m∠3 = 127°

m∠G = 90°

Step 2: Find m∠2

  1. Set up equation:                    m∠2 + 127 = 180
  2. Isolate unknown:                   m∠2 = 53°

Step 3: Find m∠1

  1. Set up equation:                    m∠1 + m∠2 + m∠G = 180
  2. Substitute:                              m∠1 + 53 + 90 = 180
  3. Combine like terms:              m∠1 + 143 = 180
  4. Isolate unknown:                   m∠1 = 37°

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