Respuesta :

spectrojamz

Answer:

6x - 21 = 105 (vertically Opposite angles)

6x = 105 + 21

6x= 126

x=126/6

x= 21°

That should be the fifth option

OR

Another Way of solving

(6x - 21) + 75 = 180 ( angles on a straight line)

6x -21 + 75 =180

6x + 54 = 180

6x =180 - 54

6x = 126

x=126/6

x=21°

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x = 21 °

Step-by-step explanation:

Here,

  • Angle 75 ° and ( 6 x - 21 ) are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.
  • So, 6 x - 21 ° + 75 ° = 180 °

6 x - 21 ° + 75 ° = 180 °

6 x + 54° = 180 ° ...( Combine like terms)

subtract 54 ° from each sides

54° - 54° + 6 x = 180 ° - 54 °

6 x = 126°

x = 126 ° / 6 ...( Divide by 6 )

x = 21 °

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