PSLE LMNP is a trapezium with LM parallel to PN. LRM and QRP are straight lines and LQ = QM. ∠QLP = 99°.
- Find ∠LPR.
- Find ∠MQR.
(a)
∠LPR
= 180° - 99° - 25°
= 56° (Angles sum of triangle)
(b)
∠LRP
= 67° (Alternate angles)
∠MLQ
= 67° - 25°
= 42° (Exterior angle of a triangle)
∠MQR
= 180° - 42° - 42° - 25°
= 71° (Angles sum of triangle)
Answer(s): (a) 56°; (b) 71°