PSLEIn the figure, NPQR is a parallelogram. NLR and LQM are straight lines. ∠MQR = 152°, ∠NRQ = 44° and ∠NQL = 18°.
- Find ∠PQM.
- Find ∠PNQ.
(a)
∠PQR
= 180° - 44°
= 136° (Interior angles)
∠PQM
= 360° - 152° - 136°
= 72° (Angles at a point)
(b)
∠RQL
= 180° - 152°
= 28°(Angles on a straight line)
∠PNQ
= ∠NQR
= 28° + 18°
= 46° (Alternate angles)
Answer(s): (a) 72°; (b) 46°