Respuesta :

Answer:

  • 30°

Step-by-step explanation:

A and B are same side interior angles and hence supplementary:

  • m∠A + m∠B = 180°

Substitute values and solve for x:

  • 6x - 18 + 14x + 38 = 180
  • 20x + 20 = 180
  • 20x = 160
  • x = 160/20
  • x = 8

Find the measure of ∠A:

  • m∠A = 6*8° - 18° = 30°