Question

NEED HELP ASAPPP

What is the value of x? Identify the missing justifications.
mAOC=150
mAOB + mBOC= mAOC a.
2x+6(x-3)=150 b.
2x+6x-18=150 c.
8x-18=150 d.
8x=168 e.
x=21 f.

Answer 1

see below

Explanation:

AOC = AOB + BOC angle addition postulate

150 = 2x+ 6(x-3) substitution

150 = 2x+ 6x-18 Distribution property

150 = 8x-18 Combine like terms

168 =8x Addition property of equality ( we added 18 to each side)

21 = x Division property of equality( We divided each side by 8)