Question

Im in dyer need of how to solve these problems

Answer 1

#4)
{ A}
Triangle ABC is congruent to triangle YXZ. How do I know this?
 Look at the angles and adjacent (bottom) line.
Because Angle A and Angle Y are both equal to (what I believe says) 78 degrees, they are equal. 
Next, Angle B is equal to Angle X because it is the angle that connects the adjacent (bottom) line and the hypotenuse (top line). Even though they have no measurements or tick marks, it's the process of elimination.
Finally, Angle C and Angle Z. We know that these are equal do to their degree similarity of (what I think is) 65.

{B} Triangle ABC is congruent to Triangle RSQ. How do I know this?
Because Angle A is congruent to the only other angle there, Angle R.
Next, B and S are congruent. If you think of them as angles, then you can see that "angle" b is connected to the leg of AB and BC. AC has one tick mark, as does RS. BC has no tick or anything to note it's congruence. So because Point be is stick in between a leg with one tick and one leg with no tick, look for the similarity in triangle RSQ. The similarity showing as S. You should understand enough now to know how I got how C and P are congruent. 

#5) Sadly I cannot read the diagram they provide, so I cannot help with it.

#6) The length of BC: ?  The length of XZ:   ?  Measure of Angle BZX: 55 degrees.