PSLE In the figure, LMP and RQP are straight lines and QM is parallel to PN. ∠QRL is a right angle, ∠RLM = 49°, ∠LMN = 121° and ∠PQM = 70°.
- Find ∠LMQ.
- Find ∠MNP.
(a)
∠LPR
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠PMQ
= 180° - 70° - 41°
= 69° (Angles sum of triangle)
∠LMQ
= 180° - 69°
= 121° (Angles on a straight line)
(b)
∠PMN
= 360° - 121° - 69° - 121°
= 49° (Angles at a point)
∠MNP
= 180° - 49° - 49°
= 82°
Answer(s): (a) 121°; (b) 82°