PSLEIn the figure, NPQR is a parallelogram. NLR and LQM are straight lines. ∠MQR = 147°, ∠NRQ = 45° and ∠NQL = 23°.
- Find ∠PQM.
- Find ∠PNQ.
(a)
∠PQR
= 180° - 45°
= 135° (Interior angles)
∠PQM
= 360° - 147° - 135°
= 78° (Angles at a point)
(b)
∠RQL
= 180° - 147°
= 33°(Angles on a straight line)
∠PNQ
= ∠NQR
= 33° + 23°
= 56° (Alternate angles)
Answer(s): (a) 78°; (b) 56°