Respuesta :

9514 1404 393

Answer:

  m∠QPR = 94°

Step-by-step explanation:

Given:

  m∠QPS = 180°

  m∠QPR = 7x -4°

  m∠RPS = 9x -40°

Find:

  m∠QPR

Solution:

  m∠QPR + m∠QPR = 180°

  (7x -4°) +(9x -40°) = 180°

  16x = 224° . . . . . . . . . . . . . add 44°

  x = 14° . . . . . . . . . . . . . divide by 16

  m∠QPR = 7x -4° = 7(14°) -4°

  m∠QPR = 94°