Question

Equation practice with angle

Given
mZAOC is a straight angle.
mZBOC = 6x + 29°
mZAOB = 3.2 + 124°
Find mZBOC:
А
O
C
M

Answer 1

Answer & Step-by-step explanation:

AOC is a straight angle. Straight angles have a measurement of 180°. ∠AOB and ∠BOC make up ∠AOC. So this measn that when you add ∠AOB to ∠BOC, then they should have a sum of 180°.

m∠AOB + m∠BOC = 180°

m∠AOB = 3x + 142

m∠BOC = 6x + 29

Now, set up the equation.

3x + 142 + 6x + 29 = 180

9x + 171 = 180

9x = 9

x = 1

Now that we have the value of x, then we can find the measurement of ∠BOC.

m∠BOC = 6(1) + 29

m∠BOC = 35

So, the measurement of ∠BOC is 35°