Respuesta :

9514 1404 393

Answer:

  ∠PTR = 80°

  ∠PTQ = 45°

  ∠QTS = 83°

Step-by-step explanation:

The outer scale is useful for reading the values of angles that start with PT.

  ∡PTR = 80°

  ∡PTQ = 45°

The measure of angle QTS is found from ...

  ∡PTS = ∡PTQ +∡QTS . . . . . angle sum theorem

  ∡QTS = ∡PTS -∡PTQ . . . . . subtract ∡PTQ

  ∡QTS = 128° -45°

  ∡QTS = 83°