In the figures given below PQR is a nonisosceles right angled triangle right angled at Q If LM and Q...........

Quantitative Aptitude (CDS) Coordinate Geometry

In the figures given below, PQR is a nonisosceles right-angled triangle, right angled at Q. If LM and QT are parallel and QT = PT, then what is $\small \angle$ RLM equal to?

$\small \angle$ PQT

$\small \angle$ LRM

$\small \angle$ RML

$\small \angle$ QPT

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Explanation:

Assuming right angled triangle be in a circle, where PR is diameter of circle.
PT = QT = TR [Radii of circle ]
QT = TR
∠TQR = ∠TRQ
∠TQR = ∠RLM [Corresponding angles]
∠RLM = ∠LRM
Hence correct option is 2.