Respuesta :

Answer:

x = 45

Step-by-step explanation:

The sum of the angles is 360 degrees

90+x+x+ 4x = 360

Combine like terms

90 +6x = 360

Subtract 90 from each side

6x = 360-90

6x = 270

Divide by 6

6x/6 = 270/6

x = 45

Answer:

x = 45°

Step-by-step explanation:

We know that sum of all angle is 360 ° .

∠KL + ∠LM + ∠MN + ∠KN = 360°

  • 90 ° + x + x + 4x = 360°

combine like terms

  • 90° + 6 x = 360°

subtract 90° from both side

  • 90° - 90° + 6x = 360° - 90°

simplify

  • 6x = 270°

divide both side by 6

  • 6x / 6 = 270°/6

calculate

  • x = 45°