document.write( "Question 1187894: Could you please help me with this proof involving Similar triangles? \r
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Algebra.Com's Answer #818910 by math_helper(2461)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "The corresponding angles of similar triangles are equal:\r
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document.write( "Angle PMK = Angle KLR    (1)
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document.write( "Angle PKM = Angle KRL    (2)
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document.write( "Angle KPM = Angle RKL    (3)\r
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document.write( "Now you can conclude from (3) that KL || PQ  (if the corresponding angles of two lines cut by a transversal are equal, then those two lines are parallel)\r
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document.write( "Angle 1 = angle PMK  (alternate interior angles of parallel lines cut by a transversal are equal)\r
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document.write( "Angle 2 = angle KLR  (corresponding angles of parallel lines cut by a transversal are equal)\r
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document.write( "Therefore angle 1 = angle 2   (by the above two statements and (1))\r
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