text: The first angle is 6x and its vertical angle is 4x + 20. What is the measure of the angle and the adjacent angle?
  
  2
  by ThegEEK
  
  2015-11-30T17:54:12+08:00
  6x = 4x +20
  2x = 20
  x = 10
  6 (10) = 60 = First angle
  180 minus First angle =Adjacent angle
  
  gosh...thanks a lot
  • Brainly User
  2015-12-01T14:55:30+08:00
  Vertical angles are congruent.
  First Angle: 6x
  Second Angle: 4x + 20
  First and Second angles are vertical, therefore they are congruent.
  
  Equate 6x and 4x + 20 to solve for x:
  6x = 4x + 20
  6x - 4x = 20
  2x = 20
  2x/2 = 20/2
  x = 10
  
  Substitute 5 for x:
  First angle: 6x ⇒  6 (10) = 60°
  Second angle: 4x + 20  ⇒  4(10) + 20 = 40 + 20 = 60°