PSLE In the figure, PQRS is a parallelogram. MSP and NSR are straight lines and MN = NP. ∠MNS = 22° and ∠QRS = 55°.
- Find ∠RSP.
- Find ∠SNP.
(a)
∠RSP
= 180° - 55°
= 125° (Interior angles)
(b)
∠MSN
= ∠RSP
= 125° (Vertically opposite angles)
∠NMS
= 180° - 125° - 22°
= 33° (Angles sum of triangle)
∠NPS = ∠NMS (Isosceles triangle)
∠MNP
= 180° - 33° - 33°
= 114° (Angles sum of triangle)
∠SNP
= 114° - 22°
= 92°
Answer(s): (a) 125°; (b) 92°