Question

Can you guys please help me. i don’t need the explanation i just need the answer

Answer 1

AOB = 36

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

Answer 2

36

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