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° - 22°
= 62° (Angles sum of triangle)
(b)
∠NTR
= 75° (Alternate angles)
∠PNS
= 75° - 22°
= 53° (Exterior angle of a triangle)
∠PST
= 180° - 53° - 53° - 22°
= 52° (Angles sum of triangle)
Answer(s): (a) 62°; (b) 52°