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Help with simple geometry :D

Hello, I'm new to math help forums. I hope you could help me.

I have a test tomorrow and I'm having trouble with a certain subject. I don't know what it's called in English, but it's those triangles that have at least one 90 degrees angle in them. It's pretty simple. Just basic triangle rules. But the tests are very tricky and I got this work that's supposed to prepare me but I can't solve anything! If you could help me it would make it a lot easier for me to figure out how to solve such problems in the future. Ok, so, here we go.

There's this triangle

Attachment 20730

Here's the info(I'm from Israel so forgive me if I don't hit all the terms :P)

Triangle ABC is a right triangle(AB perpendicular to BC)

BD is the midpoint of AC

AE = CE

AE perpendicular to BD

Calculate the angle C

I don't really know how to use the MATH tags so sorry if it looks a little bad. I tried solving it, but I can't figure out how I'm supposed to get angles here if the only angle I know it's size is B which is 90?

Thanks for your help :D