PSLEIn the figure, QRST is a parallelogram. QNT and NSP are straight lines. ∠PST = 151°, ∠QTS = 48° and ∠QSN = 18°.
- Find ∠RSP.
- Find ∠RQS.
(a)
∠RST
= 180° - 48°
= 132° (Interior angles)
∠RSP
= 360° - 151° - 132°
= 77° (Angles at a point)
(b)
∠TSN
= 180° - 151°
= 29°(Angles on a straight line)
∠RQS
= ∠QST
= 29° + 18°
= 47° (Alternate angles)
Answer(s): (a) 77°; (b) 47°