Respuesta :

mhanifa

Answer:

  • 16°

Step-by-step explanation:

According to diagram we have:

  • ∠FLH ≅ ∠LMK, corresponding angles
  • ∠LMK ≅ ∠GMJ, vertical angles
  • ∠IMJ ≅ ∠KMH, vertical angles
  • ∠H ≅ ∠IMJ, corresponding angles

Now:

  • m∠FLH = m∠LMK = m∠GMJ
  • m∠GMJ = m∠GMI + m∠IMJ
  • 3x + 6 = 3x - 10 + 2x
  • 2x = 6 + 10
  • 2x = 16
  • x = 8

Find the measure of angle H:

  • m∠H = m∠IMJ = 2x = 2*8 = 16

Otras preguntas