PSLE In the figure, MNQ and SRQ are straight lines and RN is parallel to QP. ∠RSM is a right angle, ∠SMN = 49°, ∠MNP = 117° and ∠QRN = 68°.
- Find ∠MNR.
- Find ∠NPQ.
(a)
∠MQS
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠QNR
= 180° - 68° - 41°
= 71° (Angles sum of triangle)
∠MNR
= 180° - 71°
= 117° (Angles on a straight line)
(b)
∠QNP
= 360° - 117° - 71° - 117°
= 55° (Angles at a point)
∠NPQ
= 180° - 55° - 55°
= 70°
Answer(s): (a) 117°; (b) 70°