I am having extreme difficulty with this. I've tried using inscribed angle theorems, but I've given up. Can anyone solve this?
I'm in tenth grade geometry. Thank you. Just click on the proof to enlarge it
Draw a line $\displaystyle \overrightarrow{BE}$
Make a point Z that is half way along $\displaystyle \overrightarrow{BE}$ (midpoint between B and E)
Draw a line $\displaystyle \overrightarrow{ZA}$
Through mirror symmetry, $\displaystyle \frac{\angle 1}{\overrightarrow{AB}}\frac{\cong}{\cong} \frac{\angle 2}{\overrightarrow{AE}}$
That should do it.