SOLUTION: If m-angle ABC= 85 and m-angle ABD= 37, find the m-angle CBD.

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Question 1186004: If m-angle ABC= 85 and m-angle ABD= 37, find the m-angle CBD.
Found 2 solutions by JBnovelwriter, ikleyn:
Answer by JBnovelwriter(34) About Me  (Show Source):
You can put this solution on YOUR website!
first draw angle ABC
then draw a smaller angle off of segment AB to make angle ABD
now u can see angle CBD = the other 2 angles combined
85%2B37=x
122=x
highlight%28mCBD=122%29

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.
If m-angle ABC= 85 and m-angle ABD= 37, find the m-angle CBD.
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As the problem is worded,  printed and presented,  it admits two solutions and two answers,
which means that the problem is posed  INACCURATELY.


If the ray  BD  is inside angle  ABC,  then the measure of the angle  CBD  is the difference   85° - 37° = 48°.


If the ray  BD  is outside angle  ABC,  then the measure of the angle  CBD  is the sum   85° + 37° = 122°.


What happens in reality,  the reader  CAN  NOT  know from the given post.


Professionally written and presented  Math problem will  NEVER  admit such uncertainty.