Respuesta :

Answer:

x = 8

Step-by-step explanation:

the inscribed angle  KLM is half the measure of its intercepted arc KM , so

5x - 1 = [tex]\frac{1}{2}[/tex] (8x + 14) = 4x + 7 ( subtract 4x from both sides )

x - 1 = 7 ( add 1 to both sides )

x = 8

Answer:

8

Step-by-step explanation:

In the circle, the the angle KLM is half of the arc length KM.

  • 1/2 × ∡ KM = × ∠KLM
  • 1/2 × (8x + 14) = (5x - 1)
  • 4x + 7 = 5x - 1
  • 5x - 4x = 7 + 1
  • x = 8