PSLE NPQR is a trapezium with NP parallel to RQ. NTP and STR are straight lines and NS = SP. ∠SNR = 97°.
- Find ∠NRT.
- Find ∠PST.
(a)
∠NRT
= 180° - 97° - 27°
= 56° (Angles sum of triangle)
(b)
∠NTR
= 69° (Alternate angles)
∠PNS
= 69° - 27°
= 42° (Exterior angle of a triangle)
∠PST
= 180° - 42° - 42° - 27°
= 69° (Angles sum of triangle)
Answer(s): (a) 56°; (b) 69°