PSLE In the figure, MNPQ is a parallelogram. KQM and LQP are straight lines and KL = LM. ∠KLQ = 31° and ∠NPQ = 59°.
- Find ∠PQM.
- Find ∠QLM.
(a)
∠PQM
= 180° - 59°
= 121° (Interior angles)
(b)
∠KQL
= ∠PQM
= 121° (Vertically opposite angles)
∠LKQ
= 180° - 121° - 31°
= 28° (Angles sum of triangle)
∠LMQ = ∠LKQ (Isosceles triangle)
∠KLM
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠QLM
= 124° - 31°
= 93°
Answer(s): (a) 121°; (b) 93°