PSLE In the figure, PQRS is a parallelogram. MSP and NSR are straight lines and MN = NP. ∠MNS = 29° and ∠QRS = 57°.
- Find ∠RSP.
- Find ∠SNP.
(a)
∠RSP
= 180° - 57°
= 123° (Interior angles)
(b)
∠MSN
= ∠RSP
= 123° (Vertically opposite angles)
∠NMS
= 180° - 123° - 29°
= 28° (Angles sum of triangle)
∠NPS = ∠NMS (Isosceles triangle)
∠MNP
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠SNP
= 124° - 29°
= 95°
Answer(s): (a) 123°; (b) 95°