PSLE In the figure, MNPQ is a parallelogram. KQM and LQP are straight lines and KL = LM. ∠KLQ = 25° and ∠NPQ = 55°.
- Find ∠PQM.
- Find ∠QLM.
(a)
∠PQM
= 180° - 55°
= 125° (Interior angles)
(b)
∠KQL
= ∠PQM
= 125° (Vertically opposite angles)
∠LKQ
= 180° - 125° - 25°
= 30° (Angles sum of triangle)
∠LMQ = ∠LKQ (Isosceles triangle)
∠KLM
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠QLM
= 120° - 25°
= 95°
Answer(s): (a) 125°; (b) 95°