Respuesta :

Answer:

36

Step-by-step explanation:

The angles of the triangle are equal.

Hence, the sides of the triangle must also be equal.

It is an equilateral triangle.

Equating JK and KL :

  • 2x + 24 = 10x - 24
  • 10x - 2x = 24 + 24
  • 8x = 48
  • x = 6

Finding KL :

  • KL = 10(6) - 24
  • KL = 60 - 24
  • KL = 36

All angles are equal means all sides are equal

  • 2x+24=10x-24
  • 24+24=10x-2x
  • 48=8x
  • x=48/8
  • x=6

KL

  • 10x-24
  • 10(6)-24
  • 60-24
  • 36