Question

pls answer fastly

correct answer will be marked brainliest

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Answer 1

Answer:

Step-by-step explanation:

angle 1 = angle 2

therefore PS = PT (Side opposite to equal angle are equal) - [1]

Triangle NSQ and MTR are congruent

Therefore SQ = RT (Cpct) - [2]

Divide equation 1 and 2

We get PS/SQ = PT / RT

Therefore by converse of BPT

ST || QR

Angle PST = Angle SQR ( corresponding angles)

Angle PTS = Angle TRQ (Corresponding angles)

In triangle PTS and triangle PRQ

Angle PST = Angle PQR ( proved above)

Angle PTS = Angle PRQ

Triangle PTS ~ triangle SQR ( AA)