PSLE In the figure, PQRS is a parallelogram. MSP and NSR are straight lines and MN = NP. ∠MNS = 32° and ∠QRS = 59°.
- Find ∠RSP.
- Find ∠SNP.
(a)
∠RSP
= 180° - 59°
= 121° (Interior angles)
(b)
∠MSN
= ∠RSP
= 121° (Vertically opposite angles)
∠NMS
= 180° - 121° - 32°
= 27° (Angles sum of triangle)
∠NPS = ∠NMS (Isosceles triangle)
∠MNP
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠SNP
= 126° - 32°
= 94°
Answer(s): (a) 121°; (b) 94°