PSLEIn the figure, NPQR is a parallelogram. NLR and LQM are straight lines. ∠MQR = 149°, ∠NRQ = 42° and ∠NQL = 19°.
- Find ∠PQM.
- Find ∠PNQ.
(a)
∠PQR
= 180° - 42°
= 138° (Interior angles)
∠PQM
= 360° - 149° - 138°
= 73° (Angles at a point)
(b)
∠RQL
= 180° - 149°
= 31°(Angles on a straight line)
∠PNQ
= ∠NQR
= 31° + 19°
= 50° (Alternate angles)
Answer(s): (a) 73°; (b) 50°