PSLE LMNP is a trapezium with LM parallel to PN. LRM and QRP are straight lines and LQ = QM. ∠QLP = 95°.
- Find ∠LPR.
- Find ∠MQR.
(a)
∠LPR
= 180° - 95° - 30°
= 55° (Angles sum of triangle)
(b)
∠LRP
= 68° (Alternate angles)
∠MLQ
= 68° - 30°
= 38° (Exterior angle of a triangle)
∠MQR
= 180° - 38° - 38° - 30°
= 74° (Angles sum of triangle)
Answer(s): (a) 55°; (b) 74°