Respuesta :

mlarsen5000

Answer:

BC=54

m<KJL=22°

Step-by-step explanation:

6x=9x-27

27=3x

x=9

9(9)-27=54

BC=54

4x+6=3x+10

x=4

4(4)+6=22

m<KJL=22°

mhanifa

Answer:

  • BC = 54 units
  • m∠KJL =  22°

Step-by-step explanation:

BD is the perpendicular bisector of AC because AD = DC and DB⊥AC, therefore AB = BC

  • 6x = 9x - 27
  • 9x - 6x = 27
  • 3x = 27
  • x = 9

BC = 9x - 27 = 9*9 - 27 = 81 - 27 = 54

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JL is angle bisector of KJM, because KL = ML and  KL⊥JK & ML⊥JM, therefore

  • m∠KJL = m∠MJL
  • 4x + 6 = 3x + 10
  • 4x - 3x = 10 - 6
  • x = 4

m∠KJL = 4*4° + 6 = 22°

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