PSLE In the figure, LMP and RQP are straight lines and QM is parallel to PN. ∠QRL is a right angle, ∠RLM = 52°, ∠LMN = 120° and ∠PQM = 66°.
- Find ∠LMQ.
- Find ∠MNP.
(a)
∠LPR
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠PMQ
= 180° - 66° - 38°
= 76° (Angles sum of triangle)
∠LMQ
= 180° - 76°
= 120° (Angles on a straight line)
(b)
∠PMN
= 360° - 120° - 76° - 120°
= 44° (Angles at a point)
∠MNP
= 180° - 44° - 44°
= 92°
Answer(s): (a) 120°; (b) 92°