PSLE NPQR is a trapezium with NP parallel to RQ. NTP and STR are straight lines and NS = SP. ∠SNR = 99°.
- Find ∠NRT.
- Find ∠PST.
(a)
∠NRT
= 180° - 99° - 27°
= 54° (Angles sum of triangle)
(b)
∠NTR
= 72° (Alternate angles)
∠PNS
= 72° - 27°
= 45° (Exterior angle of a triangle)
∠PST
= 180° - 45° - 45° - 27°
= 63° (Angles sum of triangle)
Answer(s): (a) 54°; (b) 63°