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Determine angle ABE.

Jul 14, 2020

Angle bisector means it halves the angle. So that means $$ABE=EBC$$$$\Rightarrow2x+20=4x-6\Rightarrow2x=26\Rightarrow x=13$$. Plug that into $$2x+20$$ to find ABE. $$2\times13+20\Rightarrow46$$ and the answer is $$\boxed{46}$$