Respuesta :

Answer:

x=27

∠JLK=2x+1=2(27)+1=55

Step-by-step explanation:

∠A+∠K=180

3x+13+∠K=180

∠K=167-3x

∠K+∠L+∠J=180

167-3x+39+2x+1=180

207-x=180

x=27

∠JLK=2x+1=2(27)+1=55

Don't worry, you aren't gonna fail. Take a deep breath and relax. Geometry is tricky but you got this. Have a nice night.

mhanifa

Answer:

  • x = 27°
  • ∠JLK = 55°

Step-by-step explanation:

∠AKL is exterior angle and as per property it is equal to sum of two non-adjacent angles:

  • ∠AKL = ∠ KJL + ∠JLK
  • 3x + 13° = 39° + 2x + 1°

Solving for x

  • 3x - 2x = 39° + 1 - 13
  • x = 27°

And finding the value of ∠JLK:

  • ∠JLK = 2x + 1 = 2*27° + 1° = 55°