SOLUTION: AB intersects CD at E. If m angle BED = 5x+20 and m angle CEA = 7x+10, find m angle CEB

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Question 31022: AB intersects CD at E. If m angle BED = 5x+20 and m angle CEA = 7x+10, find m angle CEB
Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
I am not sure how to draw this problem on this site but angle BED will equal and CEA because they are opposite angles. A form of a rule from Geometry. First we need to find these angles
5x%2B20=7x%2B10 subtract 10 from both sides
5x%2B10=7x subtract 5x from both sides
10=2x divide by 2
5=x
These angles equal 5 degrees. Knowing that the angle of a line is 180 degrees.
180-5=x
175=x
CEB = 175 degrees