PSLE KLMN is a trapezium with KL parallel to NM. KQL and PQN are straight lines and KP = PL. ∠PKN = 96°.
- Find ∠KNQ.
- Find ∠LPQ.
(a)
∠KNQ
= 180° - 96° - 24°
= 60° (Angles sum of triangle)
(b)
∠KQN
= 72° (Alternate angles)
∠LKP
= 72° - 24°
= 48° (Exterior angle of a triangle)
∠LPQ
= 180° - 48° - 48° - 24°
= 60° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 60°