2017 · Q95
In the figure given below, PQR is a non-isosceles right-angled triangle, right angled at Q. If LM and QT are parallel and QT = PT, then what is ∠ RLM equal to ?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A∠PQT
- B∠LRM
- C∠RML
- D∠QPT
Explanation
QT = PT makes ΔPQT isosceles: ∠QPT = ∠PQT. LM ∥ QT gives ∠RLM = ∠LQT (corresponding angles in the figure). In right ΔPQR, ∠LRM = 90° − ∠QPT = 90° − ∠PQT = ∠LQT. Hence ∠RLM = ∠LRM: option B.