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Answer: Step-by-step explanation: Let's angle SQR be 3 and TRQ be 4 We know NSQ is congruent to MTR Therefore, 3=4 and SQ=TR. ~1 1=2 given ~2 Sp=pt ( sides opposite to equal angles are equal ) From 1 and 2 pt/tr= Sp/sq Therefore. St is parallel to qr (converse of bpt) Angle 1=3 and 2= 4 (corresponding angles) And we know angle a=a By AAA criterion Triangle PST is similar to triangle pqr
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