Respuesta :

Edufirst

Answer:

       [tex]\large\boxed{\large\boxed{33\º}}[/tex]

Explanation:

The order of the letters naming the triangles is relevant. When it is said that triangle ABC is similar to triangle MOP, means that:

  • ∡A ≅ ∡M
  • ∡B ≅ ∡O
  • ∡C ≅ ∡P

Therefore:

  • ∡A = 45º (given)
  • ∡P = 102º (given)
  • ∡C = 102º (by substitution)

Now, you have two angles of triangle ABC and can find the third one:

  • ∡A + ∡B + ∡C = 180º
  • ∡B = 180º - ∡A - ∡B
  • ∡B = 180º - 45º - 102º = 33º ← answer

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