Question

Equation practice with angle addition

Answer 1

m<BOC = 60°

Explanation:

First, we will need to determine the value of x

m<BOC + m<AOB = m<AOC (angle addition postulate)

Substitute

9x + 42 + 7x + 30 = 104

Collect like terms

16x + 72 = 104

16x + 72 - 72 = 104 - 72

16x = 32

x = 32/16

x = 2

✔️m<BOC = 9x + 42

Plug in the value of x

m<BOC = 9(2) + 42

m<BOC = 18 + 42

= 60°