PSLEIn the figure, QRST is a parallelogram. QNT and NSP are straight lines. ∠PST = 153°, ∠QTS = 45° and ∠QSN = 19°.
- Find ∠RSP.
- Find ∠RQS.
(a)
∠RST
= 180° - 45°
= 135° (Interior angles)
∠RSP
= 360° - 153° - 135°
= 72° (Angles at a point)
(b)
∠TSN
= 180° - 153°
= 27°(Angles on a straight line)
∠RQS
= ∠QST
= 27° + 19°
= 46° (Alternate angles)
Answer(s): (a) 72°; (b) 46°