PSLEIn the figure, QRST is a parallelogram. QNT and NSP are straight lines. ∠PST = 148°, ∠QTS = 45° and ∠QSN = 20°.
- Find ∠RSP.
- Find ∠RQS.
(a)
∠RST
= 180° - 45°
= 135° (Interior angles)
∠RSP
= 360° - 148° - 135°
= 77° (Angles at a point)
(b)
∠TSN
= 180° - 148°
= 32°(Angles on a straight line)
∠RQS
= ∠QST
= 32° + 20°
= 52° (Alternate angles)
Answer(s): (a) 77°; (b) 52°