PSLE In the figure, NPR and TSR are straight lines and SP is parallel to RQ. ∠STN is a right angle, ∠TNP = 55°, ∠NPQ = 120° and ∠RSP = 68°.
- Find ∠NPS.
- Find ∠PQR.
(a)
∠NRT
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠RPS
= 180° - 68° - 35°
= 77° (Angles sum of triangle)
∠NPS
= 180° - 77°
= 120° (Angles on a straight line)
(b)
∠RPQ
= 360° - 120° - 77° - 120°
= 43° (Angles at a point)
∠PQR
= 180° - 43° - 43°
= 94°
Answer(s): (a) 120°; (b) 94°