# PQR is a non-isosceles right-angled triangle, right angled at Q

Geometry
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?

- ∠PQT
- ∠LRM
- ∠RML
- ∠QPT

### Answer

Since QT = PT, ∠QPT = ∠PQT

Since LM and QT are parallel, ∠RLM = ∠LQT

Also, in right-angled triangle PQR, ∠LRM = 90° - ∠QPT

∠LRM = 90° - ∠PQT = ∠LQT = ∠RLM

**The correct option is B.**