Questions on Geometry: Proofs in Geometry answered by real tutors!

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Question 165755: I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me. 
       __   __  __   __ 
Given: PQ @ PS; QR @ SR
        Ð1 @ Ð2
 Prove: Ð3 @ Ð4  

drawing(400,240,-3,9,-3,3,
triangle(-2,0,7.833,0,0,2.3835),
triangle(-2,0,7.833,0,0,-2.3835),
locate(-1.6,.4,1), locate(-1.6,-.08,2),
locate(6.3,.4,3),locate(6.3,-.06,4),
locate(-2.3,.3,P),locate(8,.3,R),
locate(-.1,2.9,Q),locate(-.1,-2.4,S)
 )
: I need help solving this proof that my teacher had assigned us to do for homework and i am having trouble how to start the proof can you please help me. 
       __   __  __   __ 
Given: PQ @ PS; QR @ SR
        Ð1 @ Ð2
 Prove: Ð3 @ Ð4  

drawing(400,240,-3,9,-3,3,
triangle(-2,0,7.833,0,0,2.3835),
triangle(-2,0,7.833,0,0,-2.3835),
locate(-1.6,.4,1), locate(-1.6,-.08,2),
locate(6.3,.4,3),locate(6.3,-.06,4),
locate(-2.3,.3,P),locate(8,.3,R),
locate(-.1,2.9,Q),locate(-.1,-2.4,S)
 )

Answer by Edwin McCravy(2188) About Me  (Show Source):
You can put this solution on YOUR website!

       __   __  __   __ 
Given: PQ @ PS; QR @ SR
        Ð1 @ Ð2
 Prove: Ð3 @ Ð4  

drawing(400,240,-3,9,-3,3,
triangle(-2,0,7.833,0,0,2.3835),
triangle(-2,0,7.833,0,0,-2.3835),
locate(-1.6,.4,1), locate(-1.6,-.08,2),
locate(6.3,.4,3),locate(6.3,-.06,4),
locate(-2.3,.3,P),locate(8,.3,R),
locate(-.1,2.9,Q),locate(-.1,-2.4,S)
 )

__   __
PQ @ PS          Given

Ð1 @ Ð2         Given
__   __
PR @ PR         A line segment is congruent
                to itself.  (Identity)

DPQR @ DPSR     Side-Angle-Side

Ð3 @ Ð4         Corresponding parts of congruent triangles.


Notice that you did not need to be given that 
__   __
QR @ SR, for it was not used.


Edwin