PSLEIn the figure, NPQR is a parallelogram. NLR and LQM are straight lines. ∠MQR = 147°, ∠NRQ = 44° and ∠NQL = 18°.
- Find ∠PQM.
- Find ∠PNQ.
(a)
∠PQR
= 180° - 44°
= 136° (Interior angles)
∠PQM
= 360° - 147° - 136°
= 77° (Angles at a point)
(b)
∠RQL
= 180° - 147°
= 33°(Angles on a straight line)
∠PNQ
= ∠NQR
= 33° + 18°
= 51° (Alternate angles)
Answer(s): (a) 77°; (b) 51°