Respuesta :

wegnerkolmp2741o

Answer:

36

Step-by-step explanation:

AOB + BOC = AOC

AOC = 90 since  the lines are perpendicular

6x-12 + 3x+30 = 90

Combine like terms

9x + 18 = 90

Subtract 18 from each side

9x+18-18 = 90-18

9x = 72

divide by 9

9x/9 = 72/9

x = 8

AOB = 6x - 12

         = 6*8 - 12

          = 48 -12

        = 36

ricchad

Answer:

AOB = 36

Step-by-step explanation:

OA is perpendicular to OC

AOB + BOC = 90 ------------equation

where:

AOB = 6x - 12

BOC = 3x + 30

plugin values into the eq.

6x - 12 + 3x + 30 = 90

6x + 3x + 30 - 12 = 90

9x + 18 = 90

9x = 90 - 18

9x = 72

x = 72/9

x = 8

plugin values to AOB = 6x - 12

AOB = 6x - 12

AOB = 6(8) - 12

AOB = 36