PSLE LMNP is a trapezium with LM parallel to PN. LRM and QRP are straight lines and LQ = QM. ∠QLP = 96°.
- Find ∠LPR.
- Find ∠MQR.
(a)
∠LPR
= 180° - 96° - 27°
= 57° (Angles sum of triangle)
(b)
∠LRP
= 66° (Alternate angles)
∠MLQ
= 66° - 27°
= 39° (Exterior angle of a triangle)
∠MQR
= 180° - 39° - 39° - 27°
= 75° (Angles sum of triangle)
Answer(s): (a) 57°; (b) 75°