Respuesta :

mhanifa

Answer:

  • m∠MKP = 35°

Step-by-step explanation:

Incenter is the intersection of angle bisectors.

  • ∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP

First find the value of x:

  • 7x - 6 = 5x + 4
  • 7x - 5x = 4 + 6
  • 2x = 10
  • x = 5

Find the angle MJP:

  • 7*5 - 6 = 29°

We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:

  • 2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
  • m∠MJP + m∠NJP + m∠MKP = 90°
  • 29° + 26° + m∠MKP = 90°
  • m∠MKP = 90° - 55°
  • m∠MKP = 35°

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