PSLE In the figure, LMP and RQP are straight lines and QM is parallel to PN. ∠QRL is a right angle, ∠RLM = 55°, ∠LMN = 116° and ∠PQM = 68°.
- Find ∠LMQ.
- Find ∠MNP.
(a)
∠LPR
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠PMQ
= 180° - 68° - 35°
= 77° (Angles sum of triangle)
∠LMQ
= 180° - 77°
= 116° (Angles on a straight line)
(b)
∠PMN
= 360° - 116° - 77° - 116°
= 51° (Angles at a point)
∠MNP
= 180° - 51° - 51°
= 78°
Answer(s): (a) 116°; (b) 78°