Respuesta :

Space

Answer:

m∠E = 61°

m∠F = 61°

General Formulas and Concepts:

Pre-Alg

  • Equality Properties

Geometry

  • Congruent Angles
  • All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

m∠D = 58°

m∠E = m∠F = x

Step 2: Set up equation

58 + x + x = 180

Step 3: Solve for x

  1. Combine like terms:                    58 + 2x = 180
  2. Subtract 58 on both sides:          2x = 122
  3. Divide 2 on both sides:               x = 61°

Step 4: Find angle measures

  1. Define:          m∠E = x°
  2. Substitute:    m∠E = 61°
  1. Define:          m∠F = x°
  2. Substitute:    m∠F = 61°

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