PSLE In the figure, NPR and TSR are straight lines and SP is parallel to RQ. ∠STN is a right angle, ∠TNP = 48°, ∠NPQ = 123° and ∠RSP = 66°.
- Find ∠NPS.
- Find ∠PQR.
(a)
∠NRT
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠RPS
= 180° - 66° - 42°
= 72° (Angles sum of triangle)
∠NPS
= 180° - 72°
= 123° (Angles on a straight line)
(b)
∠RPQ
= 360° - 123° - 72° - 123°
= 42° (Angles at a point)
∠PQR
= 180° - 42° - 42°
= 96°
Answer(s): (a) 123°; (b) 96°