PSLEIn the figure, QRST is a parallelogram. QNT and NSP are straight lines. ∠PST = 150°, ∠QTS = 47° and ∠QSN = 23°.
- Find ∠RSP.
- Find ∠RQS.
(a)
∠RST
= 180° - 47°
= 133° (Interior angles)
∠RSP
= 360° - 150° - 133°
= 77° (Angles at a point)
(b)
∠TSN
= 180° - 150°
= 30°(Angles on a straight line)
∠RQS
= ∠QST
= 30° + 23°
= 53° (Alternate angles)
Answer(s): (a) 77°; (b) 53°