Answer:
m∡BOC = 47°
Explanation:
A straight angle is 180°, therefore m∡AOC is 180°.
Because of this, the two angles adding up to it, m∡AOB and m∡BOC, adds up to 180°.
So, 6x + 29 + 3x + 124 = 180.
Simplification and subt. POE shows 9x = 27, so x = 3.
Plugging x back into 6x + 29 gives us 47.