help please

Please just put one question per post.

I will help you by displaying the first one properly.

You can make new posts for the other two.

All I have so far is that the angle is 45+Beta

Where beta is the middle size angle of the congruent triangles.   

I have not worked out what the exact size of beta is.                                                                    

1)    That angle is  105º        ( Tthis works with 30-60-90 triangles only )

I tried using  20-70-90 triangle, and the result was 108º, plus black (red) line doesn't bisect the top right angle.