Respuesta :

mhanifa

Answer:

  • 92°

Step-by-step explanation:

Sum of internal angles of a regular polygon is:

  • S = 180(n - 2)

We have here 5-sided polygon:

  • S = 180*(5 - 2) = 180°*3 = 540°

Now sum the given angles measures and solve for x:

  • 3x + 1 + 2x + 15 + 3x - 10 + 3x - 8 + 5x - 2 = 540
  • 16x - 4 = 540
  • 16x = 544
  • x = 544/16
  • x = 34°

Find the measure of angle R:

  • m∠R = 3x - 10 = 3*34 - 10 = 102 - 10 = 92
  • m∠R = 92°