Respuesta :

Answer:

AOB = 40 degrees

Step-by-step explanation:

The two smaller angles, AOB and BOC, add up to form AOC. That means that the angles of AOB and BOC sum up to the angle of AOC

[tex]3x+4+8x-28=108\\11x=132\\x = 12\\\\3(12)+4=AOB\\AOB = 40 degrees[/tex]

Answer:

40° = m<AOB

Step-by-step explanation:

[8x - 28] + [3x + 4] = 108 ↷

-24 + 11x = 108 [Combine like-terms]

-24 + 11x = 108

+24 + 24

________________

11x = 132; 12 = x [plug this back into the m<AOB formula to get 40°]

3[12] + 4 = 40

36

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