PSLE In the figure, MNPQ is a parallelogram. KQM and LQP are straight lines and KL = LM. ∠KLQ = 32° and ∠NPQ = 60°.
- Find ∠PQM.
- Find ∠QLM.
(a)
∠PQM
= 180° - 60°
= 120° (Interior angles)
(b)
∠KQL
= ∠PQM
= 120° (Vertically opposite angles)
∠LKQ
= 180° - 120° - 32°
= 28° (Angles sum of triangle)
∠LMQ = ∠LKQ (Isosceles triangle)
∠KLM
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠QLM
= 124° - 32°
= 92°
Answer(s): (a) 120°; (b) 92°