Geometry help for one problem please!! Segment EC bisects angle BED, m angle AEB = 11x-12 and m angle CED = 4x+1. Find the measurement of angle AEC. Diagram in the replies!

Question

anonymous · Answer

attachment

anonymous · Answer

@mathmate

mathmate · Answer

Hint:
Angles on a straight line adds up to 180 degrees.
So equate the sum of the three angles to 180 and solve for x, hence find angle AEC
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anonymous · Answer

Could you tell me how to equate the sums? I dont understand how I can find the solution for some reason, usually I am fairly good at geometry but I have been stuck on this for so long.

mathmate · Answer

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mathmate · Answer

Assuming AED is a straight line, then
11x-12 + 4x+1 + 4x+1  = 180 degrees.
So solve for x, then substitute x into (11x-12 + 4x+1) to find angle AEC