PSLE In the figure, MNQ and SRQ are straight lines and RN is parallel to QP. ∠RSM is a right angle, ∠SMN = 53°, ∠MNP = 118° and ∠QRN = 62°.
- Find ∠MNR.
- Find ∠NPQ.
(a)
∠MQS
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠QNR
= 180° - 62° - 37°
= 81° (Angles sum of triangle)
∠MNR
= 180° - 81°
= 118° (Angles on a straight line)
(b)
∠QNP
= 360° - 118° - 81° - 118°
= 43° (Angles at a point)
∠NPQ
= 180° - 43° - 43°
= 94°
Answer(s): (a) 118°; (b) 94°