PSLE In the figure, MNPQ is a parallelogram. KQM and LQP are straight lines and KL = LM. ∠KLQ = 24° and ∠NPQ = 55°.
- Find ∠PQM.
- Find ∠QLM.
(a)
∠PQM
= 180° - 55°
= 125° (Interior angles)
(b)
∠KQL
= ∠PQM
= 125° (Vertically opposite angles)
∠LKQ
= 180° - 125° - 24°
= 31° (Angles sum of triangle)
∠LMQ = ∠LKQ (Isosceles triangle)
∠KLM
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠QLM
= 118° - 24°
= 94°
Answer(s): (a) 125°; (b) 94°