PSLEIn the figure, QRST is a parallelogram. QNT and NSP are straight lines. ∠PST = 151°, ∠QTS = 43° and ∠QSN = 21°.
- Find ∠RSP.
- Find ∠RQS.
(a)
∠RST
= 180° - 43°
= 137° (Interior angles)
∠RSP
= 360° - 151° - 137°
= 72° (Angles at a point)
(b)
∠TSN
= 180° - 151°
= 29°(Angles on a straight line)
∠RQS
= ∠QST
= 29° + 21°
= 50° (Alternate angles)
Answer(s): (a) 72°; (b) 50°