PSLEIn the figure, QRST is a parallelogram. QNT and NSP are straight lines. ∠PST = 148°, ∠QTS = 47° and ∠QSN = 19°.
- Find ∠RSP.
- Find ∠RQS.
(a)
∠RST
= 180° - 47°
= 133° (Interior angles)
∠RSP
= 360° - 148° - 133°
= 79° (Angles at a point)
(b)
∠TSN
= 180° - 148°
= 32°(Angles on a straight line)
∠RQS
= ∠QST
= 32° + 19°
= 51° (Alternate angles)
Answer(s): (a) 79°; (b) 51°