PSLE In the figure, NPR and TSR are straight lines and SP is parallel to RQ. ∠STN is a right angle, ∠TNP = 50°, ∠NPQ = 114° and ∠RSP = 64°.
- Find ∠NPS.
- Find ∠PQR.
(a)
∠NRT
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠RPS
= 180° - 64° - 40°
= 76° (Angles sum of triangle)
∠NPS
= 180° - 76°
= 114° (Angles on a straight line)
(b)
∠RPQ
= 360° - 114° - 76° - 114°
= 56° (Angles at a point)
∠PQR
= 180° - 56° - 56°
= 68°
Answer(s): (a) 114°; (b) 68°