Ray BA and BC are opposite rays, and Ray BE bisects

Question

Ray BA and BC are opposite rays, and Ray BE bisects <ABD. If m<ABE= 6x+2 and m<DBE=8x-14, find m<ABE. (NOTE: < refers to ANGLE, NOT 'Less Than')

anonymous · Answer

Let me draw the figure the problem uses, it may help you.
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aripotta · Answer

Since we know that Ray BE is a bisector (meaning it cuts it in half) m<ABE and m<DBE are congruent. So...

6x+2 = 8x-14
6x+16=8x
16=2x
x=8

anonymous · Answer

Yeah, I would agree with you on that, except when I checked my answer in the back of my (obviously stupid and frustrating) textbook, It said the answer was 50. I have absolutely no idea how to come up to that solution.

aripotta · Answer

now we can plug 8 into one of the equations. 6(8)+2

48+2=50

aripotta · Answer

:l sorry lol

anonymous · Answer

oh...Well that would explain it.

aripotta · Answer

8 would be if you were just solving for x, but since we had to find the measurement of the angle, we had to find x AND plug it in

anonymous · Answer

I feel a bit stupid now, thats simple stuff.. Thank you though! You've really saved me from ripping my hair out!

aripotta · Answer

lol no problem, and it is simple. just remember to reread the questions to make sure you're doing it right. that'll prevent future hair ripping out.

anonymous · Answer

Thanks again :)