PSLE In the figure, MNQ and SRQ are straight lines and RN is parallel to QP. ∠RSM is a right angle, ∠SMN = 48°, ∠MNP = 119° and ∠QRN = 64°.
- Find ∠MNR.
- Find ∠NPQ.
(a)
∠MQS
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠QNR
= 180° - 64° - 42°
= 74° (Angles sum of triangle)
∠MNR
= 180° - 74°
= 119° (Angles on a straight line)
(b)
∠QNP
= 360° - 119° - 74° - 119°
= 48° (Angles at a point)
∠NPQ
= 180° - 48° - 48°
= 84°
Answer(s): (a) 119°; (b) 84°