PSLE In the figure, LMP and RQP are straight lines and QM is parallel to PN. ∠QRL is a right angle, ∠RLM = 48°, ∠LMN = 118° and ∠PQM = 62°.
- Find ∠LMQ.
- Find ∠MNP.
(a)
∠LPR
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠PMQ
= 180° - 62° - 42°
= 76° (Angles sum of triangle)
∠LMQ
= 180° - 76°
= 118° (Angles on a straight line)
(b)
∠PMN
= 360° - 118° - 76° - 118°
= 48° (Angles at a point)
∠MNP
= 180° - 48° - 48°
= 84°
Answer(s): (a) 118°; (b) 84°