PSLE NPQR is a trapezium with NP parallel to RQ. NTP and STR are straight lines and NS = SP. ∠SNR = 96°.
- Find ∠NRT.
- Find ∠PST.
(a)
∠NRT
= 180° - 96° - 23°
= 61° (Angles sum of triangle)
(b)
∠NTR
= 66° (Alternate angles)
∠PNS
= 66° - 23°
= 43° (Exterior angle of a triangle)
∠PST
= 180° - 43° - 43° - 23°
= 71° (Angles sum of triangle)
Answer(s): (a) 61°; (b) 71°