PSLEIn the figure, NPQR is a parallelogram. NLR and LQM are straight lines. ∠MQR = 153°, ∠NRQ = 43° and ∠NQL = 19°.
- Find ∠PQM.
- Find ∠PNQ.
(a)
∠PQR
= 180° - 43°
= 137° (Interior angles)
∠PQM
= 360° - 153° - 137°
= 70° (Angles at a point)
(b)
∠RQL
= 180° - 153°
= 27°(Angles on a straight line)
∠PNQ
= ∠NQR
= 27° + 19°
= 46° (Alternate angles)
Answer(s): (a) 70°; (b) 46°