Respuesta :

Answer:

  • x = 83°

Step-by-step explanation:

There are 6 angles, 3 pairs of vertical angles that sum to 360°.

Set below equation and solve for x:

  • 2(41° + 56° + x) = 360°
  • 97° + x = 180°
  • x = 180° - 97°
  • x = 83°

Opposite angles are equal and linear pairs are supplementary

  • x+56+41=180
  • x+97=180
  • x=180-97
  • x=83°