PSLE NPQR is a trapezium with NP parallel to RQ. NTP and STR are straight lines and NS = SP. ∠SNR = 91°.
- Find ∠NRT.
- Find ∠PST.
(a)
∠NRT
= 180° - 91° - 22°
= 67° (Angles sum of triangle)
(b)
∠NTR
= 67° (Alternate angles)
∠PNS
= 67° - 22°
= 45° (Exterior angle of a triangle)
∠PST
= 180° - 45° - 45° - 22°
= 68° (Angles sum of triangle)
Answer(s): (a) 67°; (b) 68°