Respuesta :

mhanifa

Answer:

  • 135°

Step-by-step explanation:

ΔQPR

All interior angles are equal, so:

  • m∠QPR = 180°/3 = 60°

ΔPRS

Equilateral right triangle, so:

  • m∠RPS = 90°/2 = 45°

ΔPST

Right triangle with m∠T = 60°, so:

  • m∠SPT = 90° - 60° = 30°

Now we can find the required angle measure:

  • m∠QPT = m∠QPR + m∠RPS + m∠SPT
  • m∠QPT = 60° + 45° + 30° = 135°

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