PSLEIn the figure, QRST is a parallelogram. QNT and NSP are straight lines. ∠PST = 149°, ∠QTS = 44° and ∠QSN = 17°.
- Find ∠RSP.
- Find ∠RQS.
(a)
∠RST
= 180° - 44°
= 136° (Interior angles)
∠RSP
= 360° - 149° - 136°
= 75° (Angles at a point)
(b)
∠TSN
= 180° - 149°
= 31°(Angles on a straight line)
∠RQS
= ∠QST
= 31° + 17°
= 48° (Alternate angles)
Answer(s): (a) 75°; (b) 48°