PSLE NPQR is a trapezium with NP parallel to RQ. NTP and STR are straight lines and NS = SP. ∠SNR = 92°.
- Find ∠NRT.
- Find ∠PST.
(a)
∠NRT
= 180° - 92° - 30°
= 58° (Angles sum of triangle)
(b)
∠NTR
= 72° (Alternate angles)
∠PNS
= 72° - 30°
= 42° (Exterior angle of a triangle)
∠PST
= 180° - 42° - 42° - 30°
= 66° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 66°