PSLE In the figure, LMP and RQP are straight lines and QM is parallel to PN. ∠QRL is a right angle, ∠RLM = 55°, ∠LMN = 112° and ∠PQM = 66°.
- Find ∠LMQ.
- Find ∠MNP.
(a)
∠LPR
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠PMQ
= 180° - 66° - 35°
= 79° (Angles sum of triangle)
∠LMQ
= 180° - 79°
= 112° (Angles on a straight line)
(b)
∠PMN
= 360° - 112° - 79° - 112°
= 57° (Angles at a point)
∠MNP
= 180° - 57° - 57°
= 66°
Answer(s): (a) 112°; (b) 66°