Answer:
47°
Step-by-step explanation:
Given that m<BOC = 6x + 29, m<AOB = 3x + 124, and m<AOC is a straight angle, therefore, m<AOC = 180°.
m<BOC +m<AOB = 180°
6x + 29 + 3x + 124 = 180
Solve for x
6x + 3x + 29 + 124 = 180
9x + 153 = 180
Subtract both sides by 153
9x = 180 - 153
9x = 27
Divide both sides by 9
x = 3
m<BOC = 6x + 29
Plug in the value of x
m<BOC = 6(3) + 29
m<BOC = 18 + 29 = 47°
